226936800 has 216 divisors, whose sum is σ = 819963144. Its totient is φ = 59028480.

The previous prime is 226936793. The next prime is 226936819. The reversal of 226936800 is 8639622.

226936800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226936800² = 103000622388480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309234 + ... + 309966.

Almost surely, 2^226936800 is an apocalyptic number.

226936800 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 226936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409981572).

226936800 is an abundant number, since it is smaller than the sum of its proper divisors (593026344).

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

226936800 is a wasteful number, since it uses less digits than its factorization.

226936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226936800 is about 15064.4216616503. The cubic root of 226936800 is about 609.9604023387.

The spelling of 226936800 in words is "two hundred twenty-six million, nine hundred thirty-six thousand, eight hundred".