315227220 has 288 divisors, whose sum is σ = 1153087488. Its totient is φ = 62496000.

The previous prime is 315227203. The next prime is 315227257. The reversal of 315227220 is 22722513.

It is a happy number.

315227220 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×315227220³ (a number of 26 digits) contains 333 as substring.

315227220 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4439785 + ... + 4439855.

It is an arithmetic number, because the mean of its divisors is an integer number (4003776).

Almost surely, 2^315227220 is an apocalyptic number.

315227220 is a gapful number since it is divisible by the number (30) 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 315227220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576543744).

315227220 is an abundant number, since it is smaller than the sum of its proper divisors (837860268).

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

315227220 is a wasteful number, since it uses less digits than its factorization.

315227220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 315227220 is about 17754.6393936909. The cubic root of 315227220 is about 680.5727728891.

Adding to 315227220 its reverse (22722513), we get a palindrome (337949733).

The spelling of 315227220 in words is "three hundred fifteen million, two hundred twenty-seven thousand, two hundred twenty".