226468800 has 126 divisors (see below), whose sum is σ = 804974768. Its totient is φ = 60387840.

The previous prime is 226468799. The next prime is 226468811. The reversal of 226468800 is 8864622.

226468800 is a `hidden beast` number, since 2 + 2 + 646 + 8 + 8 + 0 + 0 = 666.

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 17 ways as a sum of consecutive naturals, for example, 6537 + ... + 22263.

Almost surely, 2^226468800 is an apocalyptic number.

226468800 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 226468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402487384).

226468800 is an abundant number, since it is smaller than the sum of its proper divisors (578505968).

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

226468800 is a wasteful number, since it uses less digits than its factorization.

226468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15755 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 226468800 is about 15048.8803570232. The cubic root of 226468800 is about 609.5408172028.

The spelling of 226468800 in words is "two hundred twenty-six million, four hundred sixty-eight thousand, eight hundred".