229732912800 has 180 divisors, whose sum is σ = 837791499006. Its totient is φ = 61262092800.

The previous prime is 229732912793. The next prime is 229732912837. The reversal of 229732912800 is 8219237922.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 123985677456 + 105747235344 = 352116^2 + 325188^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×229732912800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1707831 + ... + 1837430.

Almost surely, 2^229732912800 is an apocalyptic number.

229732912800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229732912800 is an abundant number, since it is smaller than the sum of its proper divisors (608058586206).

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

229732912800 is a wasteful number, since it uses less digits than its factorization.

229732912800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545293 (or 3545271 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 229732912800 in words is "two hundred twenty-nine billion, seven hundred thirty-two million, nine hundred twelve thousand, eight hundred".