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23057100 = 2232521117137
BaseRepresentation
bin101011111110…
…1001011001100
31121101102101200
41113331023030
521400311400
62142105500
7366660603
oct127751314
947342350
1023057100
1112019160
12787b290
134a13a71
1430c2a3a
152056b00
hex15fd2cc

23057100 has 216 divisors, whose sum is σ = 84088368. Its totient is φ = 5222400.

The previous prime is 23057081. The next prime is 23057101. The reversal of 23057100 is 175032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23057101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168232 + ... + 168368.

It is an arithmetic number, because the mean of its divisors is an integer number (389298).

Almost surely, 223057100 is an apocalyptic number.

23057100 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 23057100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42044184).

23057100 is an abundant number, since it is smaller than the sum of its proper divisors (61031268).

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

23057100 is a wasteful number, since it uses less digits than its factorization.

23057100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 23057100 is about 4801.7809196172. The cubic root of 23057100 is about 284.6218437971.

The spelling of 23057100 in words is "twenty-three million, fifty-seven thousand, one hundred".