226435680 has 72 divisors (see below), whose sum is σ = 772716672. Its totient is φ = 60382464.

The previous prime is 226435633. The next prime is 226435739. The reversal of 226435680 is 86534622.

226435680 is a `hidden beast` number, since 2 + 2 + 643 + 5 + 6 + 8 + 0 = 666.

226435680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 77184 + ... + 80063.

It is an arithmetic number, because the mean of its divisors is an integer number (10732176).

Almost surely, 2^226435680 is an apocalyptic number.

226435680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226435680 is an abundant number, since it is smaller than the sum of its proper divisors (546280992).

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

226435680 is a wasteful number, since it uses less digits than its factorization.

226435680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157268 (or 157257 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 226435680 is about 15047.7799026966. The cubic root of 226435680 is about 609.5111015921.

The spelling of 226435680 in words is "two hundred twenty-six million, four hundred thirty-five thousand, six hundred eighty".