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22222154112 = 273179833463
BaseRepresentation
bin10100101100100010…
…110010100110000000
32010100200220101121220
4110230202302212000
5331002332412422
614113025515040
71414454123214
oct245442624600
963320811556
1022222154112
119473910324
1243821a2a80
132131b95022
14110b48c944
158a0db1e5c
hex52c8b2980

22222154112 has 128 divisors (see below), whose sum is σ = 62581455360. Its totient is φ = 6962552832.

The previous prime is 22222154041. The next prime is 22222154113. The reversal of 22222154112 is 21145122222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222154113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6415293 + ... + 6418755.

It is an arithmetic number, because the mean of its divisors is an integer number (488917620).

Almost surely, 222222154112 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 22222154112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31290727680).

22222154112 is an abundant number, since it is smaller than the sum of its proper divisors (40359301248).

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

22222154112 is a wasteful number, since it uses less digits than its factorization.

22222154112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4468 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

Adding to 22222154112 its reverse (21145122222), we get a palindrome (43367276334).

The spelling of 22222154112 in words is "twenty-two billion, two hundred twenty-two million, one hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 983 1088 1632 1966 2176 2949 3264 3463 3932 5898 6528 6926 7864 10389 11796 13852 15728 16711 20778 23592 27704 31456 33422 41556 47184 50133 55408 58871 62912 66844 83112 94368 100266 110816 117742 125824 133688 166224 176613 188736 200532 221632 235484 267376 332448 353226 377472 401064 443264 470968 534752 664896 706452 802128 941936 1069504 1329792 1412904 1604256 1883872 2139008 2825808 3208512 3404129 3767744 5651616 6417024 6808258 7535488 10212387 11303232 13616516 20424774 22606464 27233032 40849548 54466064 57870193 81699096 108932128 115740386 163398192 173610579 217864256 231480772 326796384 347221158 435728512 462961544 653592768 694442316 925923088 1307185536 1388884632 1851846176 2777769264 3703692352 5555538528 7407384704 11111077056 22222154112