229372920 has 144 divisors (see below), whose sum is σ = 867236760. Its totient is φ = 52424064.

The previous prime is 229372909. The next prime is 229372939. The reversal of 229372920 is 29273922.

It is a happy number.

It is a super-2 number, since 2×229372920² = 105223872858652800, which contains 22 as substring.

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

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11139 + ... + 24141.

Almost surely, 2^229372920 is an apocalyptic number.

229372920 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 229372920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433618380).

229372920 is an abundant number, since it is smaller than the sum of its proper divisors (637863840).

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

229372920 is a wasteful number, since it uses less digits than its factorization.

229372920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13034 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 229372920 is about 15145.0625617724. The cubic root of 229372920 is about 612.1352385995.

The spelling of 229372920 in words is "two hundred twenty-nine million, three hundred seventy-two thousand, nine hundred twenty".