226636800 has 264 divisors, whose sum is σ = 810218976. Its totient is φ = 55541760.

The previous prime is 226636799. The next prime is 226636847. The reversal of 226636800 is 8636622.

It is a super-2 number, since 2×226636800² = 102728478228480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998287 + ... + 998513.

Almost surely, 2^226636800 is an apocalyptic number.

226636800 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 226636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405109488).

226636800 is an abundant number, since it is smaller than the sum of its proper divisors (583582176).

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

226636800 is a wasteful number, since it uses less digits than its factorization.

226636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 226636800 is about 15054.4611328337. The cubic root of 226636800 is about 609.6915039583.

The spelling of 226636800 in words is "two hundred twenty-six million, six hundred thirty-six thousand, eight hundred".