227815120 has 40 divisors (see below), whose sum is σ = 570416616. Its totient is φ = 84115968.

The previous prime is 227815103. The next prime is 227815121. The reversal of 227815120 is 21518722.

227815120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 227768464 = 216^2 + 15092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×227815120² = 103799457801228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227815121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 108487 + ... + 110566.

Almost surely, 2^227815120 is an apocalyptic number.

227815120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

227815120 is an abundant number, since it is smaller than the sum of its proper divisors (342601496).

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

227815120 is a wasteful number, since it uses less digits than its factorization.

227815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219079 (or 219073 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 227815120 is about 15093.5456404385. The cubic root of 227815120 is about 610.7463050497.

The spelling of 227815120 in words is "two hundred twenty-seven million, eight hundred fifteen thousand, one hundred twenty".