226252800 has 216 divisors, whose sum is σ = 811940220. Its totient is φ = 60211200.

The previous prime is 226252759. The next prime is 226252823. The reversal of 226252800 is 8252622.

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 17 ways as a sum of consecutive naturals, for example, 460555 + ... + 461045.

Almost surely, 2^226252800 is an apocalyptic number.

226252800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405970110).

226252800 is an abundant number, since it is smaller than the sum of its proper divisors (585687420).

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

226252800 is a wasteful number, since it uses less digits than its factorization.

226252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 226252800 is about 15041.7020313527. The cubic root of 226252800 is about 609.3469675468.

It can be divided in two parts, 22625 and 2800, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 226252800 in words is "two hundred twenty-six million, two hundred fifty-two thousand, eight hundred".