229759166224 has 405 divisors, whose sum is σ = 591726812607. Its totient is φ = 86141712384.

The previous prime is 229759166191. The next prime is 229759166267. The reversal of 229759166224 is 422661957922.

The square root of 229759166224 is 479332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 57567364624 + 172191801600 = 239932^2 + 414960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4335078582 + ... + 4335078634.

Almost surely, 2^229759166224 is an apocalyptic number.

229759166224 is the 479332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229759166224

229759166224 is an abundant number, since it is smaller than the sum of its proper divisors (361967646383).

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

229759166224 is a wasteful number, since it uses less digits than its factorization.

229759166224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 98 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The spelling of 229759166224 in words is "two hundred twenty-nine billion, seven hundred fifty-nine million, one hundred sixty-six thousand, two hundred twenty-four".