227925120 has 128 divisors (see below), whose sum is σ = 769357440. Its totient is φ = 57196544.

The previous prime is 227925077. The next prime is 227925161. The reversal of 227925120 is 21529722.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 29149 + ... + 36131.

It is an arithmetic number, because the mean of its divisors is an integer number (6010605).

Almost surely, 2^227925120 is an apocalyptic number.

227925120 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 227925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384678720).

227925120 is an abundant number, since it is smaller than the sum of its proper divisors (541432320).

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

227925120 is a wasteful number, since it uses less digits than its factorization.

227925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 227925120 is about 15097.1891423536. The cubic root of 227925120 is about 610.8445883763.

The spelling of 227925120 in words is "two hundred twenty-seven million, nine hundred twenty-five thousand, one hundred twenty".