226460800 has 48 divisors (see below), whose sum is σ = 559436850. Its totient is φ = 90583040.

The previous prime is 226460771. The next prime is 226460809. The reversal of 226460800 is 8064622.

It can be written as a sum of positive squares in 3 ways, for example, as 207590464 + 18870336 = 14408^2 + 4344^2 .

It is not an unprimeable number, because it can be changed into a prime (226460809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32185 + ... + 38584.

Almost surely, 2^226460800 is an apocalyptic number.

226460800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226460800 is an abundant number, since it is smaller than the sum of its proper divisors (332976050).

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

226460800 is an equidigital number, since it uses as much as digits as its factorization.

226460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70793 (or 70776 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 226460800 is about 15048.6145541708. The cubic root of 226460800 is about 609.5336397844.

The spelling of 226460800 in words is "two hundred twenty-six million, four hundred sixty thousand, eight hundred".