229969920 has 208 divisors, whose sum is σ = 778472640. Its totient is φ = 57802752.

The previous prime is 229969871. The next prime is 229969933. The reversal of 229969920 is 29969922.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 229969920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167262 + ... + 1167458.

Almost surely, 2^229969920 is an apocalyptic number.

229969920 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 229969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389236320).

229969920 is an abundant number, since it is smaller than the sum of its proper divisors (548502720).

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

229969920 is a wasteful number, since it uses less digits than its factorization.

229969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 229969920 is about 15164.7591474444. The cubic root of 229969920 is about 612.6658565143.

The spelling of 229969920 in words is "two hundred twenty-nine million, nine hundred sixty-nine thousand, nine hundred twenty".