315221000 has 64 divisors (see below), whose sum is σ = 745158960. Its totient is φ = 124800000.

The previous prime is 315220993. The next prime is 315221029. The reversal of 315221000 is 122513.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2709316 + 312511684 = 1646^2 + 17678^2 .

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 15 ways as a sum of consecutive naturals, for example, 99440 + ... + 102560.

Almost surely, 2^315221000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372579480).

315221000 is an abundant number, since it is smaller than the sum of its proper divisors (429937960).

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

315221000 is a wasteful number, since it uses less digits than its factorization.

315221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 315221000 is about 17754.4642273429. The cubic root of 315221000 is about 680.5682965514.

Adding to 315221000 its reverse (122513), we get a palindrome (315343513).

The spelling of 315221000 in words is "three hundred fifteen million, two hundred twenty-one thousand".