226162080 has 72 divisors (see below), whose sum is σ = 771783012. Its totient is φ = 60309504.

The previous prime is 226162061. The next prime is 226162087. The reversal of 226162080 is 80261622.

226162080 is a `hidden beast` number, since 22 + 616 + 20 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 220344336 + 5817744 = 14844^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×226162080² = 102298572859852800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226162087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77089 + ... + 79968.

Almost surely, 2^226162080 is an apocalyptic number.

226162080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226162080 is an abundant number, since it is smaller than the sum of its proper divisors (545620932).

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

226162080 is a wasteful number, since it uses less digits than its factorization.

226162080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157078 (or 157067 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 226162080 is about 15038.6861128225. The cubic root of 226162080 is about 609.2655138999.

The spelling of 226162080 in words is "two hundred twenty-six million, one hundred sixty-two thousand, eighty".