226663200 has 108 divisors (see below), whose sum is σ = 799296498. Its totient is φ = 60441600.

The previous prime is 226663181. The next prime is 226663219. The reversal of 226663200 is 2366622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (226663181) and next prime (226663219).

It can be written as a sum of positive squares in 3 ways, for example, as 109244304 + 117418896 = 10452^2 + 10836^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 17 ways as a sum of consecutive naturals, for example, 8541 + ... + 22940.

Almost surely, 2^226663200 is an apocalyptic number.

226663200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226663200 is an abundant number, since it is smaller than the sum of its proper divisors (572633298).

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

226663200 is a wasteful number, since it uses less digits than its factorization.

226663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31507 (or 31491 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 226663200 is about 15055.3379238063. The cubic root of 226663200 is about 609.7151765345.

The spelling of 226663200 in words is "two hundred twenty-six million, six hundred sixty-three thousand, two hundred".