226226400 has 72 divisors (see below), whose sum is σ = 736374744. Its totient is φ = 60326400.

The previous prime is 226226387. The next prime is 226226401. The reversal of 226226400 is 4622622.

226226400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226226401) 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, 44731 + ... + 49530.

It is an arithmetic number, because the mean of its divisors is an integer number (10227427).

Almost surely, 2^226226400 is an apocalyptic number.

226226400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226226400 is an abundant number, since it is smaller than the sum of its proper divisors (510148344).

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

226226400 is a wasteful number, since it uses less digits than its factorization.

226226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94284 (or 94271 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 226226400 is about 15040.8244454884. The cubic root of 226226400 is about 609.3232663511.

The spelling of 226226400 in words is "two hundred twenty-six million, two hundred twenty-six thousand, four hundred".