229588920 has 96 divisors (see below), whose sum is σ = 814011120. Its totient is φ = 55656960.

The previous prime is 229588903. The next prime is 229588973. The reversal of 229588920 is 29885922.

It is a super-2 number, since 2×229588920² = 105422144373532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 25029 + ... + 32948.

Almost surely, 2^229588920 is an apocalyptic number.

229588920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229588920 is an abundant number, since it is smaller than the sum of its proper divisors (584422200).

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

229588920 is a wasteful number, since it uses less digits than its factorization.

229588920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58005 (or 57998 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 229588920 is about 15152.1919206430. The cubic root of 229588920 is about 612.3273271412.

It can be divided in two parts, 22958 and 8920, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 229588920 in words is "two hundred twenty-nine million, five hundred eighty-eight thousand, nine hundred twenty".