226388400 has 120 divisors (see below), whose sum is σ = 828827904. Its totient is φ = 51744000.

The previous prime is 226388389. The next prime is 226388423. The reversal of 226388400 is 4883622.

It is a tau number, because it is divible by the number of its divisors (120).

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, 5076 + ... + 21875.

Almost surely, 2^226388400 is an apocalyptic number.

226388400 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 226388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414413952).

226388400 is an abundant number, since it is smaller than the sum of its proper divisors (602439504).

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

226388400 is a wasteful number, since it uses less digits than its factorization.

226388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26979 (or 26968 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 226388400 is about 15046.2088248170. The cubic root of 226388400 is about 609.4686764601.

The spelling of 226388400 in words is "two hundred twenty-six million, three hundred eighty-eight thousand, four hundred".