226164960 has 336 divisors, whose sum is σ = 918854496. Its totient is φ = 51508224.

The previous prime is 226164949. The next prime is 226164977. The reversal of 226164960 is 69461622.

226164960 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 55 ways as a sum of consecutive naturals, for example, 816342 + ... + 816618.

It is an arithmetic number, because the mean of its divisors is an integer number (2734686).

Almost surely, 2^226164960 is an apocalyptic number.

226164960 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 226164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459427248).

226164960 is an abundant number, since it is smaller than the sum of its proper divisors (692689536).

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

226164960 is an equidigital number, since it uses as much as digits as its factorization.

226164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226164960 is about 15038.7818655634. The cubic root of 226164960 is about 609.2681000647.

The spelling of 226164960 in words is "two hundred twenty-six million, one hundred sixty-four thousand, nine hundred sixty".