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22088104272 = 24331329135623
BaseRepresentation
bin10100100100100011…
…011011100101010000
32010000100122221211000
4110210203123211100
5330214023314042
614051440422000
71411235534313
oct244443334520
963010587730
1022088104272
119405182733
124345317900
13211018c0b0
1410d775697a
1589423374c
hex5248db950

22088104272 has 160 divisors (see below), whose sum is σ = 70632979200. Its totient is φ = 6561934848.

The previous prime is 22088104231. The next prime is 22088104277. The reversal of 22088104272 is 27240188022.

22088104272 is a `hidden beast` number, since 220 + 8 + 8 + 1 + 0 + 427 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22088104277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95053 + ... + 230675.

It is an arithmetic number, because the mean of its divisors is an integer number (441456120).

Almost surely, 222088104272 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 22088104272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35316489600).

22088104272 is an abundant number, since it is smaller than the sum of its proper divisors (48544874928).

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

22088104272 is a wasteful number, since it uses less digits than its factorization.

22088104272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135682 (or 135670 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 22088104272 in words is "twenty-two billion, eighty-eight million, one hundred four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 312 348 351 377 432 464 468 522 624 696 702 754 783 936 1044 1131 1392 1404 1508 1566 1872 2088 2262 2808 3016 3132 3393 4176 4524 5616 6032 6264 6786 9048 10179 12528 13572 18096 20358 27144 40716 54288 81432 135623 162864 271246 406869 542492 813738 1084984 1220607 1627476 1763099 2169968 2441214 3254952 3526198 3661821 3933067 4882428 5289297 6509904 7052396 7323642 7866134 9764856 10578594 11799201 14104792 14647284 15732268 15867891 19529712 21157188 23598402 28209584 29294568 31464536 31735782 35397603 42314376 47196804 47603673 51129871 58589136 62929072 63471564 70795206 84628752 94393608 95207346 102259742 106192809 126943128 141590412 153389613 188787216 190414692 204519484 212385618 253886256 283180824 306779226 380829384 409038968 424771236 460168839 566361648 613558452 761658768 818077936 849542472 920337678 1227116904 1380506517 1699084944 1840675356 2454233808 2761013034 3681350712 5522026068 7362701424 11044052136 22088104272