226624608 has 288 divisors, whose sum is σ = 791169120. Its totient is φ = 62899200.

The previous prime is 226624597. The next prime is 226624613. The reversal of 226624608 is 806426622.

226624608 is a `hidden beast` number, since 2 + 26 + 6 + 24 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 2243758 + ... + 2243858.

It is an arithmetic number, because the mean of its divisors is an integer number (2747115).

Almost surely, 2^226624608 is an apocalyptic number.

226624608 is a gapful number since it is divisible by the number (28) 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 226624608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395584560).

226624608 is an abundant number, since it is smaller than the sum of its proper divisors (564544512).

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

226624608 is a wasteful number, since it uses less digits than its factorization.

226624608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 226624608 is about 15054.0561975834. The cubic root of 226624608 is about 609.6805709116.

The spelling of 226624608 in words is "two hundred twenty-six million, six hundred twenty-four thousand, six hundred eight".