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22041204402132 = 22322961756536053
BaseRepresentation
bin1010000001011110111100…
…01010001010011111010100
32220001010012102122212020200
411000233132022022133110
510342110341311332012
6114513331200300500
74433265410122146
oct500573612123724
986033172585220
1022041204402132
1170286932aa023
12257b896911730
13c3b6272a3736
14562b2b232c96
152835204553dc
hex140bde28a7d4

22041204402132 has 144 divisors (see below), whose sum is σ = 57749648196240. Its totient is φ = 7079801186304.

The previous prime is 22041204402047. The next prime is 22041204402143. The reversal of 22041204402132 is 23120440214022.

It is a happy number.

22041204402132 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 1 + 2 + 0 + 440 + 213 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3342446871696 + 18698757530436 = 1828236^2 + 4324206^2 .

It is a super-3 number, since 3×220412044021323 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22041204402096 and 22041204402105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3641365618 + ... + 3641371670.

It is an arithmetic number, because the mean of its divisors is an integer number (401039223585).

Almost surely, 222041204402132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22041204402132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28874824098120).

22041204402132 is an abundant number, since it is smaller than the sum of its proper divisors (35708443794108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22041204402132 is a wasteful number, since it uses less digits than its factorization.

22041204402132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12362 (or 12357 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22041204402132 its reverse (23120440214022), we get a palindrome (45161644616154).

The spelling of 22041204402132 in words is "twenty-two trillion, forty-one billion, two hundred four million, four hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 617 1044 1234 1851 2468 3702 5553 5653 6053 7404 11106 11306 12106 16959 17893 18159 22212 22612 24212 33918 35786 36318 50877 53679 54477 67836 71572 72636 101754 107358 108954 161037 163937 175537 203508 214716 217908 322074 327874 351074 491811 526611 644148 655748 702148 983622 1053222 1475433 1579833 1967244 2106444 2950866 3159666 3487901 3734701 5901732 6319332 6975802 7469402 10463703 11204103 13951604 14938804 20927406 22408206 31391109 33612309 34217609 41854812 44816412 62782218 67224618 68435218 101149129 102652827 108306329 125564436 134449236 136870436 202298258 205305654 216612658 303447387 307958481 324918987 404596516 410611308 433225316 606894774 615916962 649837974 910342161 974756961 992310661 1213789548 1231833924 1299675948 1820684322 1949513922 1984621322 2976931983 3641368644 3899027844 3969242644 5953863966 8930795949 11907727932 17861591898 21112264753 35723183796 42224529506 63336794259 84449059012 126673588518 190010382777 253347177036 380020765554 612255677837 760041531108 1224511355674 1836767033511 2449022711348 3673534067022 5510301100533 7347068134044 11020602201066 22041204402132