229612800 has 108 divisors (see below), whose sum is σ = 757833440. Its totient is φ = 61224960.

The previous prime is 229612781. The next prime is 229612847. The reversal of 229612800 is 8216922.

229612800 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13221 + ... + 25179.

Almost surely, 2^229612800 is an apocalyptic number.

229612800 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 229612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378916720).

229612800 is an abundant number, since it is smaller than the sum of its proper divisors (528220640).

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

229612800 is a wasteful number, since it uses less digits than its factorization.

229612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11988 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 229612800 is about 15152.9799049560. The cubic root of 229612800 is about 612.3485561994.

The spelling of 229612800 in words is "two hundred twenty-nine million, six hundred twelve thousand, eight hundred".