226504802304 has 476 divisors, whose sum is σ = 742662965952. Its totient is φ = 68478566400.

The previous prime is 226504802273. The next prime is 226504802357. The reversal of 226504802304 is 403208405622.

226504802304 is a `hidden beast` number, since 226 + 50 + 4 + 80 + 2 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 525532969 + ... + 525533399.

Almost surely, 2^226504802304 is an apocalyptic number.

226504802304 is a gapful number since it is divisible by the number (24) 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 226504802304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371331482976).

226504802304 is an abundant number, since it is smaller than the sum of its proper divisors (516158163648).

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

226504802304 is an frugal number, since it uses more digits than its factorization.

226504802304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 226504802304 in words is "two hundred twenty-six billion, five hundred four million, eight hundred two thousand, three hundred four".