312225210 has 96 divisors (see below), whose sum is σ = 891191808. Its totient is φ = 75212160.

The previous prime is 312225197. The next prime is 312225257. The reversal of 312225210 is 12522213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170359 + ... + 172181.

It is an arithmetic number, because the mean of its divisors is an integer number (9283248).

Almost surely, 2^312225210 is an apocalyptic number.

312225210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312225210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445595904).

312225210 is an abundant number, since it is smaller than the sum of its proper divisors (578966598).

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

312225210 is a wasteful number, since it uses less digits than its factorization.

312225210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 312225210 is about 17669.8955854300. The cubic root of 312225210 is about 678.4054405347.

Adding to 312225210 its reverse (12522213), we get a palindrome (324747423).

It can be divided in two parts, 312 and 225210, that added together give a palindrome (225522).

The spelling of 312225210 in words is "three hundred twelve million, two hundred twenty-five thousand, two hundred ten".