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22115897856 = 2934131719127
BaseRepresentation
bin10100100110001101…
…011101001000000000
32010002021222000110000
4110212031131020000
5330243132212411
614054312240000
71412024013213
oct244615351000
963067860400
1022115897856
119419936438
1243526a0000
132115b709c0
1410db30d77a
158968c3956
hex52635d200

22115897856 has 800 divisors, whose sum is σ = 79854888960. Its totient is φ = 6019743744.

The previous prime is 22115897803. The next prime is 22115897879. The reversal of 22115897856 is 65879851122.

22115897856 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 589 + 7 + 8 + 56 = 666.

It is a super-2 number, since 2×221158978562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 174140865 + ... + 174140991.

Almost surely, 222115897856 is an apocalyptic number.

22115897856 is a gapful number since it is divisible by the number (26) 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 22115897856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39927444480).

22115897856 is an abundant number, since it is smaller than the sum of its proper divisors (57738991104).

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

22115897856 is a wasteful number, since it uses less digits than its factorization.

22115897856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 22115897856 in words is "twenty-two billion, one hundred fifteen million, eight hundred ninety-seven thousand, eight hundred fifty-six".