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215272202992 = 247112274791607
BaseRepresentation
bin1100100001111100111…
…0010010001011110000
3202120122200121222111021
43020133032102023300
512011334140443432
6242521130225224
721360434351110
oct3103716221360
9676580558437
10215272202992
1183329601370
123587a285214
13173b9382992
14a5c2521040
1558ee106697
hex321f3922f0

215272202992 has 160 divisors (see below), whose sum is σ = 523715051520. Its totient is φ = 83276624640.

The previous prime is 215272202963. The next prime is 215272203001. The reversal of 215272202992 is 299202272512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133958253 + ... + 133959859.

It is an arithmetic number, because the mean of its divisors is an integer number (3273219072).

Almost surely, 2215272202992 is an apocalyptic number.

215272202992 is a gapful number since it is divisible by the number (22) 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 215272202992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261857525760).

215272202992 is an abundant number, since it is smaller than the sum of its proper divisors (308442848528).

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

215272202992 is a wasteful number, since it uses less digits than its factorization.

215272202992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 215272202992 in words is "two hundred fifteen billion, two hundred seventy-two million, two hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 227 308 454 479 616 908 958 1232 1589 1607 1816 1916 2497 3178 3214 3353 3632 3832 4994 5269 6356 6428 6706 7664 9988 10538 11249 12712 12856 13412 17479 17677 19976 21076 22498 25424 25712 26824 34958 35354 36883 39952 42152 44996 53648 69916 70708 73766 84304 89992 108733 123739 139832 141416 147532 179984 217466 247478 279664 282832 295064 364789 434932 494956 590128 729578 761131 769753 869864 989912 1196063 1459156 1522262 1539506 1739728 1979824 2392126 2553523 2918312 3044524 3079012 4012679 4784252 5107046 5388271 5836624 6089048 6158024 8025358 8372441 8467283 9568504 10214092 10776542 12178096 12316048 16050716 16744882 16934566 19137008 20428184 21553084 28088753 32101432 33489764 33869132 40856368 43106168 56177506 59270981 64202864 66979528 67738264 86212336 112355012 118541962 133959056 135476528 174733931 224710024 237083924 349467862 449420048 474167848 698935724 948335696 1223137517 1397871448 1922073241 2446275034 2795742896 3844146482 4892550068 7688292964 9785100136 13454512687 15376585928 19570200272 26909025374 30753171856 53818050748 107636101496 215272202992