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22660053264 = 243537157519
BaseRepresentation
bin10101000110101001…
…001111100100010000
32011111012212222100000
4111012221033210100
5332401433201024
614224311330000
71431352163142
oct250651174420
964435788300
1022660053264
119679011452
124484980900
1321a1815b54
14114d6bac92
158c955ecc9
hex546a4f910

22660053264 has 120 divisors (see below), whose sum is σ = 67543315840. Its totient is φ = 7349159808.

The previous prime is 22660053257. The next prime is 22660053337. The reversal of 22660053264 is 46235006622.

22660053264 is a `hidden beast` number, since 2 + 2 + 6 + 60 + 0 + 532 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65097 + ... + 222615.

Almost surely, 222660053264 is an apocalyptic number.

22660053264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22660053264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33771657920).

22660053264 is an abundant number, since it is smaller than the sum of its proper divisors (44883262576).

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

22660053264 is a wasteful number, since it uses less digits than its factorization.

22660053264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157579 (or 157561 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 22660053264 its reverse (46235006622), we get a palindrome (68895059886).

The spelling of 22660053264 in words is "twenty-two billion, six hundred sixty million, fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 432 444 486 592 648 666 888 972 999 1296 1332 1776 1944 1998 2664 2997 3888 3996 5328 5994 7992 8991 11988 15984 17982 23976 35964 47952 71928 143856 157519 315038 472557 630076 945114 1260152 1417671 1890228 2520304 2835342 3780456 4253013 5670684 5828203 7560912 8506026 11341368 11656406 12759039 17012052 17484609 22682736 23312812 25518078 34024104 34969218 38277117 46625624 51036156 52453827 68048208 69938436 76554234 93251248 102072312 104907654 139876872 153108468 157361481 204144624 209815308 279753744 306216936 314722962 419630616 472084443 612433872 629445924 839261232 944168886 1258891848 1416253329 1888337772 2517783696 2832506658 3776675544 5665013316 7553351088 11330026632 22660053264