227972880 has 160 divisors (see below), whose sum is σ = 795544320. Its totient is φ = 60746112.

The previous prime is 227972879. The next prime is 227972891. The reversal of 227972880 is 88279722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174309 + ... + 175611.

It is an arithmetic number, because the mean of its divisors is an integer number (4972152).

Almost surely, 2^227972880 is an apocalyptic number.

227972880 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 227972880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397772160).

227972880 is an abundant number, since it is smaller than the sum of its proper divisors (567571440).

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

227972880 is an equidigital number, since it uses as much as digits as its factorization.

227972880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 227972880 is about 15098.7708108972. The cubic root of 227972880 is about 610.8872513644.

The spelling of 227972880 in words is "two hundred twenty-seven million, nine hundred seventy-two thousand, eight hundred eighty".