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230085900 = 2233521161127
BaseRepresentation
bin11011011011011…
…01010100001100
3121000221120112000
431231231110030
5432400222100
634455312300
75462461242
oct1555552414
9530846460
10230085900
11108971a40
126507b690
133888c405
14227b4792
15152ed900
hexdb6d50c

230085900 has 288 divisors, whose sum is σ = 826613760. Its totient is φ = 54432000.

The previous prime is 230085887. The next prime is 230085901. The reversal of 230085900 is 9580032.

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

It is not an unprimeable number, because it can be changed into a prime (230085901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1811637 + ... + 1811763.

Almost surely, 2230085900 is an apocalyptic number.

230085900 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 230085900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413306880).

230085900 is an abundant number, since it is smaller than the sum of its proper divisors (596527860).

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

230085900 is a wasteful number, since it uses less digits than its factorization.

230085900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 230085900 is about 15168.5826628594. The cubic root of 230085900 is about 612.7688338139.

The spelling of 230085900 in words is "two hundred thirty million, eighty-five thousand, nine hundred".