226557936 has 120 divisors (see below), whose sum is σ = 695513520. Its totient is φ = 68275200.

The previous prime is 226557913. The next prime is 226557941. The reversal of 226557936 is 639755622.

226557936 is a `hidden beast` number, since 2 + 2 + 6 + 557 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 226557891 and 226557900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444850 + ... + 445358.

It is an arithmetic number, because the mean of its divisors is an integer number (5795946).

Almost surely, 2^226557936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226557936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347756760).

226557936 is an abundant number, since it is smaller than the sum of its proper divisors (468955584).

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

226557936 is a wasteful number, since it uses less digits than its factorization.

226557936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 226557936 is about 15051.8416148988. The cubic root of 226557936 is about 609.6207765668.

The spelling of 226557936 in words is "two hundred twenty-six million, five hundred fifty-seven thousand, nine hundred thirty-six".