227972160 has 168 divisors, whose sum is σ = 844585560. Its totient is φ = 56107008.

The previous prime is 227972141. The next prime is 227972183. The reversal of 227972160 is 61279722.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 227889216 = 288^2 + 15096^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34396 + ... + 40484.

It is an arithmetic number, because the mean of its divisors is an integer number (5027295).

Almost surely, 2^227972160 is an apocalyptic number.

227972160 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 227972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422292780).

227972160 is an abundant number, since it is smaller than the sum of its proper divisors (616613400).

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

227972160 is a wasteful number, since it uses less digits than its factorization.

227972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 227972160 is about 15098.7469678778. The cubic root of 227972160 is about 610.8866082481.

The spelling of 227972160 in words is "two hundred twenty-seven million, nine hundred seventy-two thousand, one hundred sixty".