229456772160 has 672 divisors, whose sum is σ = 944797679616. Its totient is φ = 46136217600.

The previous prime is 229456772159. The next prime is 229456772219. The reversal of 229456772160 is 61277654922.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25202169 + ... + 25211271.

It is an arithmetic number, because the mean of its divisors is an integer number (1405948928).

Almost surely, 2^229456772160 is an apocalyptic number.

229456772160 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 229456772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472398839808).

229456772160 is an abundant number, since it is smaller than the sum of its proper divisors (715340907456).

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

229456772160 is a wasteful number, since it uses less digits than its factorization.

229456772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9183 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 229456772160 in words is "two hundred twenty-nine billion, four hundred fifty-six million, seven hundred seventy-two thousand, one hundred sixty".