226108800 has 192 divisors, whose sum is σ = 827811600. Its totient is φ = 60272640.

The previous prime is 226108787. The next prime is 226108807. The reversal of 226108800 is 8801622.

226108800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×226108800² = 102250378874880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226108807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85092 + ... + 87708.

Almost surely, 2^226108800 is an apocalyptic number.

226108800 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 226108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413905800).

226108800 is an abundant number, since it is smaller than the sum of its proper divisors (601702800).

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

226108800 is a wasteful number, since it uses less digits than its factorization.

226108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 226108800 is about 15036.9145771332. The cubic root of 226108800 is about 609.2176658904.

The spelling of 226108800 in words is "two hundred twenty-six million, one hundred eight thousand, eight hundred".