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22260552109056 = 210343753136859
BaseRepresentation
bin1010000111110111100000…
…10011010000110000000000
32220211002101011001220010000
411003323300103100300000
510404204102314442211
6115202204555040000
74455162142636032
oct503736023206000
986732334056100
1022260552109056
117102713374858
1225b62b1a40000
13c56212ac28b1
1456d5b8b1dc52
152890ac248656
hex143ef04d0c00

22260552109056 has 440 divisors, whose sum is σ = 69559604666640. Its totient is φ = 7083367170048.

The previous prime is 22260552109027. The next prime is 22260552109067. The reversal of 22260552109056 is 65090125506222.

22260552109056 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 0 + 552 + 1 + 0 + 90 + 5 + 6 = 666.

It is a super-2 number, since 2×222605521090562 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 162584755 + ... + 162721613.

It is an arithmetic number, because the mean of its divisors is an integer number (158090010606).

Almost surely, 222260552109056 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 22260552109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34779802333320).

22260552109056 is an abundant number, since it is smaller than the sum of its proper divisors (47299052557584).

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

22260552109056 is a wasteful number, since it uses less digits than its factorization.

22260552109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136981 (or 136954 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 22260552109056 in words is "twenty-two trillion, two hundred sixty billion, five hundred fifty-two million, one hundred nine thousand, fifty-six".