226624104 has 96 divisors (see below), whose sum is σ = 717837120. Its totient is φ = 63237888.

The previous prime is 226624063. The next prime is 226624117. The reversal of 226624104 is 401426622.

226624104 is a `hidden beast` number, since 2 + 26 + 624 + 10 + 4 = 666.

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, 16444 + ... + 26900.

It is an arithmetic number, because the mean of its divisors is an integer number (7477470).

Almost surely, 2^226624104 is an apocalyptic number.

226624104 is a gapful number since it is divisible by the number (24) 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 226624104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358918560).

226624104 is an abundant number, since it is smaller than the sum of its proper divisors (491213016).

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

226624104 is a wasteful number, since it uses less digits than its factorization.

226624104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10519 (or 10512 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 226624104 is about 15054.0394578997. The cubic root of 226624104 is about 609.6801189465.

The spelling of 226624104 in words is "two hundred twenty-six million, six hundred twenty-four thousand, one hundred four".