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23057274240 = 27335711133143
BaseRepresentation
bin10101011110010100…
…100001010110000000
32012111220022220002000
4111132110201112000
5334210130233430
614331541224000
71444244411610
oct253624412600
965456286060
1023057274240
119862259450
124575a02000
132235bc3550
14118a35aa40
158ee374e60
hex55e521580

23057274240 has 2048 divisors, whose sum is σ = 115811942400. Its totient is φ = 4180377600.

The previous prime is 23057274239. The next prime is 23057274257. The reversal of 23057274240 is 4247275032.

It is a happy number.

23057274240 is a `hidden beast` number, since 2 + 3 + 0 + 572 + 7 + 42 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23057274195 and 23057274204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 536215659 + ... + 536215701.

It is an arithmetic number, because the mean of its divisors is an integer number (56548800).

Almost surely, 223057274240 is an apocalyptic number.

23057274240 is a gapful number since it is divisible by the number (20) 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 23057274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57905971200).

23057274240 is an abundant number, since it is smaller than the sum of its proper divisors (92754668160).

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

23057274240 is a wasteful number, since it uses less digits than its factorization.

23057274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 23057274240 in words is "twenty-three billion, fifty-seven million, two hundred seventy-four thousand, two hundred forty".