226733299752960 has 4032 divisors, whose sum is σ = 1114245117183744. Its totient is φ = 43475927040000.

The previous prime is 226733299752941. The next prime is 226733299752979. The reversal of 226733299752960 is 69257992337622.

226733299752960 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 3 + 3 + 2 + 9 + 97 + 529 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226733299752941) and next prime (226733299752979).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×226733299752960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69742631335 + ... + 69742634585.

It is an arithmetic number, because the mean of its divisors is an integer number (276350475492).

Almost surely, 2^{226733299752960} is an apocalyptic number.

226733299752960 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 226733299752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557122558591872).

226733299752960 is an abundant number, since it is smaller than the sum of its proper divisors (887511817430784).

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

226733299752960 is a wasteful number, since it uses less digits than its factorization.

226733299752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 72.

The spelling of 226733299752960 in words is "two hundred twenty-six trillion, seven hundred thirty-three billion, two hundred ninety-nine million, seven hundred fifty-two thousand, nine hundred sixty".