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22204444240 = 24511191328017
BaseRepresentation
bin10100101011011111…
…001110111001010000
32010022110120122020201
4110223133032321100
5330433314203430
614111154144544
71414150443016
oct245337167120
963273518221
1022204444240
119464914670
124378282154
13212b304104
141108d9c8b6
1589e5648ca
hex52b7cee50

22204444240 has 80 divisors (see below), whose sum is σ = 59282723520. Its totient is φ = 7649372160.

The previous prime is 22204444219. The next prime is 22204444247. The reversal of 22204444240 is 4244440222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22204444199 and 22204444208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22204444247) 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 15 ways as a sum of consecutive naturals, for example, 647289 + ... + 680728.

It is an arithmetic number, because the mean of its divisors is an integer number (741034044).

Almost surely, 222204444240 is an apocalyptic number.

22204444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22204444240 is an abundant number, since it is smaller than the sum of its proper divisors (37078279280).

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

22204444240 is a wasteful number, since it uses less digits than its factorization.

22204444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328060 (or 1328054 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 22204444240 its reverse (4244440222), we get a palindrome (26448884462).

The spelling of 22204444240 in words is "twenty-two billion, two hundred four million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 1328017 2656034 5312068 6640085 10624136 13280170 14608187 21248272 25232323 26560340 29216374 50464646 53120680 58432748 73040935 100929292 106241360 116865496 126161615 146081870 201858584 233730992 252323230 277555553 292163740 403717168 504646460 555111106 584327480 1009292920 1110222212 1168654960 1387777765 2018585840 2220444424 2775555530 4440888848 5551111060 11102222120 22204444240