226188064 has 48 divisors (see below), whose sum is σ = 462672000. Its totient is φ = 108769024.

The previous prime is 226188029. The next prime is 226188073. The reversal of 226188064 is 460881622.

It is a super-2 number, since 2×226188064² = 102322080592136192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87462 + ... + 90010.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2^226188064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226188064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

226188064 is an abundant number, since it is smaller than the sum of its proper divisors (236483936).

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

226188064 is a wasteful number, since it uses less digits than its factorization.

226188064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 226188064 is about 15039.5499932678. The cubic root of 226188064 is about 609.2888460589.

The spelling of 226188064 in words is "two hundred twenty-six million, one hundred eighty-eight thousand, sixty-four".