229381920 has 72 divisors (see below), whose sum is σ = 782770716. Its totient is φ = 61168128.

The previous prime is 229381903. The next prime is 229381963. The reversal of 229381920 is 29183922.

It can be written as a sum of positive squares in 2 ways, for example, as 228977424 + 404496 = 15132^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78207 + ... + 81086.

Almost surely, 2^229381920 is an apocalyptic number.

229381920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229381920 is an abundant number, since it is smaller than the sum of its proper divisors (553388796).

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

229381920 is a wasteful number, since it uses less digits than its factorization.

229381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159314 (or 159303 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 229381920 is about 15145.3596853954. The cubic root of 229381920 is about 612.1432446959.

The spelling of 229381920 in words is "two hundred twenty-nine million, three hundred eighty-one thousand, nine hundred twenty".