230506900 has 72 divisors (see below), whose sum is σ = 541699704. Its totient is φ = 84633600.

The previous prime is 230506889. The next prime is 230506901. The reversal of 230506900 is 9605032.

230506900 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 208398096 + 22108804 = 14436^2 + 4702^2 .

It is a super-2 number, since 2×230506900² = 106266861895220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230506901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302520 + ... + 303280.

It is an arithmetic number, because the mean of its divisors is an integer number (7523607).

Almost surely, 2^230506900 is an apocalyptic number.

230506900 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 230506900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270849852).

230506900 is an abundant number, since it is smaller than the sum of its proper divisors (311192804).

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

230506900 is a wasteful number, since it uses less digits than its factorization.

230506900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 230506900 is about 15182.4536883865. The cubic root of 230506900 is about 613.1423443086.

The spelling of 230506900 in words is "two hundred thirty million, five hundred six thousand, nine hundred".