226933306560 has 672 divisors, whose sum is σ = 856734278400. Its totient is φ = 57017364480.

The previous prime is 226933306549. The next prime is 226933306591. The reversal of 226933306560 is 65603339622.

226933306560 is a `hidden beast` number, since 2 + 26 + 9 + 33 + 30 + 6 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 397431075 + ... + 397431645.

It is an arithmetic number, because the mean of its divisors is an integer number (1274902200).

Almost surely, 2^226933306560 is an apocalyptic number.

226933306560 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 226933306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428367139200).

226933306560 is an abundant number, since it is smaller than the sum of its proper divisors (629800971840).

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

226933306560 is a wasteful number, since it uses less digits than its factorization.

226933306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 226933306560 in words is "two hundred twenty-six billion, nine hundred thirty-three million, three hundred six thousand, five hundred sixty".