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23270106600 = 233352131723137
BaseRepresentation
bin10101101011000000…
…011010010111101000
32020001201210220012000
4111223000122113220
5340124121402400
614405023051000
71452440433246
oct255300322750
966051726160
1023270106600
119961406564
124615140a60
13226b021660
1411aa71d796
15912db6600
hex56b01a5e8

23270106600 has 1152 divisors, whose sum is σ = 97210444800. Its totient is φ = 5076172800.

The previous prime is 23270106599. The next prime is 23270106649. The reversal of 23270106600 is 660107232.

It is a happy number.

23270106600 is a `hidden beast` number, since 23 + 27 + 0 + 10 + 6 + 600 = 666.

It is a super-2 number, since 2×232701066002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 628921782 + ... + 628921818.

Almost surely, 223270106600 is an apocalyptic number.

23270106600 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 23270106600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48605222400).

23270106600 is an abundant number, since it is smaller than the sum of its proper divisors (73940338200).

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

23270106600 is a wasteful number, since it uses less digits than its factorization.

23270106600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 23270106600 in words is "twenty-three billion, two hundred seventy million, one hundred six thousand, six hundred".