226817600 has 42 divisors (see below), whose sum is σ = 558116994. Its totient is φ = 90726400.

The previous prime is 226817593. The next prime is 226817603. The reversal of 226817600 is 6718622.

It can be written as a sum of positive squares in 3 ways, for example, as 1577536 + 225240064 = 1256^2 + 15008^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226817603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69281 + ... + 72480.

Almost surely, 2^226817600 is an apocalyptic number.

226817600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226817600 is an abundant number, since it is smaller than the sum of its proper divisors (331299394).

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

226817600 is a wasteful number, since it uses less digits than its factorization.

226817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141783 (or 141768 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 226817600 is about 15060.4648002643. The cubic root of 226817600 is about 609.8535884392.

The spelling of 226817600 in words is "two hundred twenty-six million, eight hundred seventeen thousand, six hundred".