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22142882368 = 2623311393491
BaseRepresentation
bin10100100111110100…
…011001001001000000
32010011011201222020101
4110213310121021000
5330322034213433
614101114452144
71412502252235
oct244764311100
963134658211
1022142882368
119433097292
12435b734054
13211b62b279
141100b3578c
15898e5407d
hex527d19240

22142882368 has 112 divisors (see below), whose sum is σ = 47683399680. Its totient is φ = 10171814400.

The previous prime is 22142882357. The next prime is 22142882371. The reversal of 22142882368 is 86328824122.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6341103 + ... + 6344593.

It is an arithmetic number, because the mean of its divisors is an integer number (425744640).

Almost surely, 222142882368 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 22142882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23841699840).

22142882368 is an abundant number, since it is smaller than the sum of its proper divisors (25540517312).

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

22142882368 is a wasteful number, since it uses less digits than its factorization.

22142882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3686 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The spelling of 22142882368 in words is "twenty-two billion, one hundred forty-two million, eight hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 139 184 248 278 368 496 556 713 736 992 1112 1426 1472 1984 2224 2852 3197 3491 4309 4448 5704 6394 6982 8618 8896 11408 12788 13964 17236 22816 25576 27928 34472 45632 51152 55856 68944 80293 99107 102304 108221 111712 137888 160586 198214 204608 216442 223424 275776 321172 396428 432884 485249 642344 792856 865768 970498 1284688 1585712 1731536 1940996 2489083 2569376 3171424 3463072 3881992 4978166 5138752 6342848 6926144 7763984 9956332 11160727 15042719 15527968 19912664 22321454 30085438 31055936 39825328 44642908 60170876 79650656 89285816 120341752 159301312 178571632 240683504 345982537 357143264 481367008 691965074 714286528 962734016 1383930148 2767860296 5535720592 11071441184 22142882368