229504320 has 224 divisors, whose sum is σ = 820765440. Its totient is φ = 60364800.

The previous prime is 229504307. The next prime is 229504333. The reversal of 229504320 is 23405922.

229504320 is a `hidden beast` number, since 229 + 5 + 0 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (229504307) and next prime (229504333).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 872509 + ... + 872771.

Almost surely, 2^229504320 is an apocalyptic number.

229504320 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 229504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410382720).

229504320 is an abundant number, since it is smaller than the sum of its proper divisors (591261120).

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

229504320 is a wasteful number, since it uses less digits than its factorization.

229504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 229504320 is about 15149.3999881183. The cubic root of 229504320 is about 612.2521068212.

The spelling of 229504320 in words is "two hundred twenty-nine million, five hundred four thousand, three hundred twenty".