Search a number
-
+
221121152532 = 22347731335563
BaseRepresentation
bin1100110111101111011…
…0010000011000010100
3210010202022110101220000
43031323312100120110
512110324003340112
6245325345411300
721655405533120
oct3157366203024
9703668411800
10221121152532
1185860142765
1236a31039b30
1317b0c072677
14a9b9250580
155b428537dc
hex337bd90614

221121152532 has 120 divisors (see below), whose sum is σ = 669683843136. Its totient is φ = 62311980672.

The previous prime is 221121152477. The next prime is 221121152537. The reversal of 221121152532 is 235251121122.

221121152532 is a `hidden beast` number, since 2 + 2 + 1 + 12 + 115 + 2 + 532 = 666.

221121152532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211211525322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221121152496 and 221121152505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121152537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 502218 + ... + 833345.

Almost surely, 2221121152532 is an apocalyptic number.

It is an amenable number.

221121152532 is an abundant number, since it is smaller than the sum of its proper divisors (448562690604).

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

221121152532 is a wasteful number, since it uses less digits than its factorization.

221121152532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335659 (or 1335648 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Adding to 221121152532 its reverse (235251121122), we get a palindrome (456372273654).

The spelling of 221121152532 in words is "two hundred twenty-one billion, one hundred twenty-one million, one hundred fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 81 84 108 126 146 162 189 219 252 292 324 378 438 511 567 657 756 876 1022 1134 1314 1533 1971 2044 2268 2628 3066 3942 4599 5913 6132 7884 9198 11826 13797 18396 23652 27594 41391 55188 82782 165564 1335563 2671126 4006689 5342252 8013378 9348941 12020067 16026756 18697882 24040134 28046823 36060201 37395764 48080268 56093646 72120402 84140469 97496099 108180603 112187292 144240804 168280938 194992198 216361206 252421407 292488297 336561876 389984396 432722412 504842814 584976594 682472693 757264221 877464891 1009685628 1169953188 1364945386 1514528442 1754929782 2047418079 2632394673 2729890772 3029056884 3509859564 4094836158 5264789346 6142254237 7897184019 8189672316 10529578692 12284508474 15794368038 18426762711 24569016948 31588736076 36853525422 55280288133 73707050844 110560576266 221121152532