229226079965796 has 405 divisors, whose sum is σ = 634937239284579. Its totient is φ = 72109811239200.

The previous prime is 229226079965791. The next prime is 229226079965797. The reversal of 229226079965796 is 697569970622922.

The square root of 229226079965796 is 15140214.

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

229226079965796 is a `hidden beast` number, since 2 + 292 + 260 + 7 + 9 + 9 + 65 + 7 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (229226079965791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 363274294401 + ... + 363274295031.

Almost surely, 2^{229226079965796} is an apocalyptic number.

229226079965796 is the 15140214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229226079965796

229226079965796 is an abundant number, since it is smaller than the sum of its proper divisors (405711159318783).

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

229226079965796 is an frugal number, since it uses more digits than its factorization.

229226079965796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 5555329920, while the sum is 81.

229226079965796 divided by its sum of digits (81) gives a square (2829951604516 = 1682246²).

The spelling of 229226079965796 in words is "two hundred twenty-nine trillion, two hundred twenty-six billion, seventy-nine million, nine hundred sixty-five thousand, seven hundred ninety-six".