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86222451341236 = 22729713593341621
BaseRepresentation
bin10011100110101100111010…
…100101010111011110110100
3102022021210012212211120021111
4103212230322211113132310
542300132040020404421
6503214014115524404
724106236502621060
oct2346547245273664
9368253185746244
1086222451341236
1125522810a70761
1298065a45b9704
133915985a0c482
141741290532aa0
159e7c9cdc9ee1
hex4e6b3a9577b4

86222451341236 has 96 divisors (see below), whose sum is σ = 180913212910080. Its totient is φ = 35173921036800.

The previous prime is 86222451341233. The next prime is 86222451341237. The reversal of 86222451341236 is 63214315422268.

It is a super-2 number, since 2×862224513412362 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86222451341236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86222451341233) 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, 2071588506 + ... + 2071630126.

It is an arithmetic number, because the mean of its divisors is an integer number (1884512634480).

Almost surely, 286222451341236 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 86222451341236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90456606455040).

86222451341236 is an abundant number, since it is smaller than the sum of its proper divisors (94690761568844).

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

86222451341236 is a wasteful number, since it uses less digits than its factorization.

86222451341236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77665 (or 77663 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 49.

The spelling of 86222451341236 in words is "eighty-six trillion, two hundred twenty-two billion, four hundred fifty-one million, three hundred forty-one thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 28 29 58 71 116 142 203 284 406 497 812 994 1988 2059 4118 8236 14413 28826 35933 41621 57652 71866 83242 143732 166484 251531 291347 503062 582694 1006124 1042057 1165388 1207009 2084114 2414018 2551243 2955091 4168228 4828036 5102486 5910182 7294399 8449063 10204972 11820364 14588798 16898126 17858701 20685637 29177596 33796252 35717402 41371274 71434804 73986047 82742548 85697639 147972094 171395278 295944188 342790556 517902329 599883473 1035804658 1199766946 1495567393 2071609316 2399533892 2991134786 5982269572 10468971751 20937943502 41875887004 43371454397 86742908794 106185284903 173485817588 212370569806 303600180779 424741139612 607200361558 743296994321 1214400723116 1486593988642 2973187977284 3079373262187 6158746524374 12317493048748 21555612835309 43111225670618 86222451341236