230561100 has 288 divisors, whose sum is σ = 924940800. Its totient is φ = 47865600.

The previous prime is 230561099. The next prime is 230561101. The reversal of 230561100 is 1165032.

230561100 is a `hidden beast` number, since 2 + 3 + 0 + 561 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (230561099) and next prime (230561101).

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 (230561101) 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, 207346 + ... + 208454.

It is an arithmetic number, because the mean of its divisors is an integer number (3211600).

Almost surely, 2^230561100 is an apocalyptic number.

230561100 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 230561100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462470400).

230561100 is an abundant number, since it is smaller than the sum of its proper divisors (694379700).

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

230561100 is a wasteful number, since it uses less digits than its factorization.

230561100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 230561100 is about 15184.2385386953. The cubic root of 230561100 is about 613.1903974048.

The spelling of 230561100 in words is "two hundred thirty million, five hundred sixty-one thousand, one hundred".