226568160 has 648 divisors, whose sum is σ = 1025158680. Its totient is φ = 45287424.

The previous prime is 226568143. The next prime is 226568183. The reversal of 226568160 is 61865622.

It is a super-2 number, since 2×226568160² = 102666262251571200, which contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 11924631 + ... + 11924649.

It is an arithmetic number, because the mean of its divisors is an integer number (1582035).

Almost surely, 2^226568160 is an apocalyptic number.

226568160 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 226568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512579340).

226568160 is an abundant number, since it is smaller than the sum of its proper divisors (798590520).

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

226568160 is a wasteful number, since it uses less digits than its factorization.

226568160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 226568160 is about 15052.1812372825. The cubic root of 226568160 is about 609.6299466554.

The spelling of 226568160 in words is "two hundred twenty-six million, five hundred sixty-eight thousand, one hundred sixty".