227942120 has 96 divisors (see below), whose sum is σ = 631790280. Its totient is φ = 73543680.

The previous prime is 227942111. The next prime is 227942123. The reversal of 227942120 is 21249722.

It can be written as a sum of positive squares in 4 ways, for example, as 220641316 + 7300804 = 14854^2 + 2702^2 .

It is a super-2 number, since 2×227942120² = 103915220140188800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (227942123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29900 + ... + 36740.

Almost surely, 2^227942120 is an apocalyptic number.

227942120 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 227942120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315895140).

227942120 is an abundant number, since it is smaller than the sum of its proper divisors (403848160).

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

227942120 is a wasteful number, since it uses less digits than its factorization.

227942120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6872 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 227942120 is about 15097.7521505686. The cubic root of 227942120 is about 610.8597747964.

The spelling of 227942120 in words is "two hundred twenty-seven million, nine hundred forty-two thousand, one hundred twenty".