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23085000 = 23355419
BaseRepresentation
bin101100000001…
…1111111001000
31121102211200000
41120003333020
521402210000
62142443000
7400135131
oct130037710
947384600
1023085000
1112038114
127893460
134a23683
1430ccc88
152060000
hex1603fc8

23085000 has 240 divisors, whose sum is σ = 85285200. Its totient is φ = 5832000.

The previous prime is 23084983. The next prime is 23085043. The reversal of 23085000 is 58032.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1214991 + ... + 1215009.

It is an arithmetic number, because the mean of its divisors is an integer number (355355).

Almost surely, 223085000 is an apocalyptic number.

23085000 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 23085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42642600).

23085000 is an abundant number, since it is smaller than the sum of its proper divisors (62200200).

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

23085000 is an equidigital number, since it uses as much as digits as its factorization.

23085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23085000 is about 4804.6852134141. The cubic root of 23085000 is about 284.7365987409.

The spelling of 23085000 in words is "twenty-three million, eighty-five thousand".