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230375880 = 23335731983
BaseRepresentation
bin11011011101101…
…00000111001000
3121001111022022000
431232310013020
5432434012010
634505431000
75465106540
oct1556640710
9531438260
10230375880
1110904a899
126519b460
13389613b7
142284c320
15153597c0
hexdbb41c8

230375880 has 256 divisors, whose sum is σ = 906854400. Its totient is φ = 50906880.

The previous prime is 230375869. The next prime is 230375881. The reversal of 230375880 is 88573032.

230375880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230375881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233869 + ... + 234851.

It is an arithmetic number, because the mean of its divisors is an integer number (3542400).

Almost surely, 2230375880 is an apocalyptic number.

230375880 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 230375880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453427200).

230375880 is an abundant number, since it is smaller than the sum of its proper divisors (676478520).

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

230375880 is a wasteful number, since it uses less digits than its factorization.

230375880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 230375880 is about 15178.1382257509. The cubic root of 230375880 is about 613.0261523633.

The spelling of 230375880 in words is "two hundred thirty million, three hundred seventy-five thousand, eight hundred eighty".