226232400 has 60 divisors (see below), whose sum is σ = 724701632. Its totient is φ = 60328320.

The previous prime is 226232399. The next prime is 226232429. The reversal of 226232400 is 4232622.

226232400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93064 + ... + 95463.

Almost surely, 2^226232400 is an apocalyptic number.

226232400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226232400 is an abundant number, since it is smaller than the sum of its proper divisors (498469232).

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

226232400 is a wasteful number, since it uses less digits than its factorization.

226232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188548 (or 188537 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 226232400 is about 15041.0239013174. The cubic root of 226232400 is about 609.3286531484.

The spelling of 226232400 in words is "two hundred twenty-six million, two hundred thirty-two thousand, four hundred".