226564400 has 60 divisors (see below), whose sum is σ = 554643072. Its totient is φ = 88907520.

The previous prime is 226564367. The next prime is 226564409. The reversal of 226564400 is 4465622.

It is not an unprimeable number, because it can be changed into a prime (226564409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15857 + ... + 26543.

Almost surely, 2^226564400 is an apocalyptic number.

226564400 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 226564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277321536).

226564400 is an abundant number, since it is smaller than the sum of its proper divisors (328078672).

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

226564400 is a wasteful number, since it uses less digits than its factorization.

226564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10758 (or 10747 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 226564400 is about 15052.0563379227. The cubic root of 226564400 is about 609.6265742762.

The spelling of 226564400 in words is "two hundred twenty-six million, five hundred sixty-four thousand, four hundred".