229253120 has 112 divisors (see below), whose sum is σ = 572094360. Its totient is φ = 88080384.

The previous prime is 229253119. The next prime is 229253131. The reversal of 229253120 is 21352922.

It can be written as a sum of positive squares in 4 ways, for example, as 158961664 + 70291456 = 12608^2 + 8384^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 229253120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187744 + ... + 1187936.

Almost surely, 2^229253120 is an apocalyptic number.

229253120 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 229253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286047180).

229253120 is an abundant number, since it is smaller than the sum of its proper divisors (342841240).

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

229253120 is an equidigital number, since it uses as much as digits as its factorization.

229253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 229253120 is about 15141.1069608533. The cubic root of 229253120 is about 612.0286486083.

The spelling of 229253120 in words is "two hundred twenty-nine million, two hundred fifty-three thousand, one hundred twenty".