226533456 has 80 divisors (see below), whose sum is σ = 655513600. Its totient is φ = 74898432.

The previous prime is 226533431. The next prime is 226533469. The reversal of 226533456 is 654335622.

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

It is a self number, because there is not a number n which added to its sum of digits gives 226533456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52800 + ... + 56928.

It is an arithmetic number, because the mean of its divisors is an integer number (8193920).

Almost surely, 2^226533456 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 226533456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327756800).

226533456 is an abundant number, since it is smaller than the sum of its proper divisors (428980144).

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

226533456 is a wasteful number, since it uses less digits than its factorization.

226533456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4261 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 226533456 is about 15051.0284034015. The cubic root of 226533456 is about 609.5988188953.

It can be divided in two parts, 2265 and 33456, that added together give a square (35721 = 189²).

The spelling of 226533456 in words is "two hundred twenty-six million, five hundred thirty-three thousand, four hundred fifty-six".