226920960 has 480 divisors, whose sum is σ = 951635520. Its totient is φ = 51093504.

The previous prime is 226920949. The next prime is 226920973. The reversal of 226920960 is 69029622.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3386847 + ... + 3386913.

It is an arithmetic number, because the mean of its divisors is an integer number (1982574).

Almost surely, 2^226920960 is an apocalyptic number.

226920960 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 226920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475817760).

226920960 is an abundant number, since it is smaller than the sum of its proper divisors (724714560).

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

226920960 is an equidigital number, since it uses as much as digits as its factorization.

226920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 226920960 is about 15063.8959104210. The cubic root of 226920960 is about 609.9462104321.

The spelling of 226920960 in words is "two hundred twenty-six million, nine hundred twenty thousand, nine hundred sixty".