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22552127136 = 2533711230817
BaseRepresentation
bin10101000000001101…
…100010011010100000
32011012200210202112000
4111000031202122200
5332141321032021
614205454204000
71425601626540
oct250015423240
964180722460
1022552127136
1196230a6a00
1244547b3600
132185358736
14113d225320
158bed41b26
hex5403626a0

22552127136 has 288 divisors, whose sum is σ = 82631687040. Its totient is φ = 5857505280.

The previous prime is 22552127119. The next prime is 22552127201. The reversal of 22552127136 is 63172125522.

22552127136 is a `hidden beast` number, since 2 + 2 + 552 + 1 + 2 + 71 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22552127136.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716400 + ... + 747216.

It is an arithmetic number, because the mean of its divisors is an integer number (286915580).

Almost surely, 222552127136 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 22552127136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41315843520).

22552127136 is an abundant number, since it is smaller than the sum of its proper divisors (60079559904).

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

22552127136 is a wasteful number, since it uses less digits than its factorization.

22552127136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30865 (or 30840 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The spelling of 22552127136 in words is "twenty-two billion, five hundred fifty-two million, one hundred twenty-seven thousand, one hundred thirty-six".