226572560 has 80 divisors (see below), whose sum is σ = 548214912. Its totient is φ = 87014400.

The previous prime is 226572557. The next prime is 226572569. The reversal of 226572560 is 65275622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 226572560.

It is not an unprimeable number, because it can be changed into a prime (226572569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219245 + ... + 220275.

Almost surely, 2^226572560 is an apocalyptic number.

226572560 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 226572560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274107456).

226572560 is an abundant number, since it is smaller than the sum of its proper divisors (321642352).

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

226572560 is a wasteful number, since it uses less digits than its factorization.

226572560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 226572560 is about 15052.3273947918. The cubic root of 226572560 is about 609.6338930093.

The spelling of 226572560 in words is "two hundred twenty-six million, five hundred seventy-two thousand, five hundred sixty".