229661160 has 128 divisors (see below), whose sum is σ = 737268480. Its totient is φ = 57028608.

The previous prime is 229661149. The next prime is 229661197. The reversal of 229661160 is 61166922.

229661160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209574 + ... + 210666.

It is an arithmetic number, because the mean of its divisors is an integer number (5759910).

Almost surely, 2^229661160 is an apocalyptic number.

229661160 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 229661160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368634240).

229661160 is an abundant number, since it is smaller than the sum of its proper divisors (507607320).

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

229661160 is a wasteful number, since it uses less digits than its factorization.

229661160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 229661160 is about 15154.5755466790. The cubic root of 229661160 is about 612.3915432010.

The spelling of 229661160 in words is "two hundred twenty-nine million, six hundred sixty-one thousand, one hundred sixty".