226162560 has 384 divisors, whose sum is σ = 846689760. Its totient is φ = 51118080.

The previous prime is 226162553. The next prime is 226162579. The reversal of 226162560 is 65261622.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×226162560² = 102299007091507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5516140 + ... + 5516180.

Almost surely, 2^226162560 is an apocalyptic number.

226162560 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 226162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423344880).

226162560 is an abundant number, since it is smaller than the sum of its proper divisors (620527200).

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

226162560 is a wasteful number, since it uses less digits than its factorization.

226162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 226162560 is about 15038.7020716550. The cubic root of 226162560 is about 609.2659449289.

The spelling of 226162560 in words is "two hundred twenty-six million, one hundred sixty-two thousand, five hundred sixty".