312626226 has 64 divisors (see below), whose sum is σ = 731566080. Its totient is φ = 88008960.

The previous prime is 312626213. The next prime is 312626257. The reversal of 312626226 is 622626213.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312626193 and 312626202.

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 31 ways as a sum of consecutive naturals, for example, 86875 + ... + 90401.

It is an arithmetic number, because the mean of its divisors is an integer number (11430720).

Almost surely, 2^312626226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312626226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

312626226 is an abundant number, since it is smaller than the sum of its proper divisors (418939854).

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

312626226 is a wasteful number, since it uses less digits than its factorization.

312626226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639.

The product of its digits is 10368, while the sum is 30.

The square root of 312626226 is about 17681.2393796363. The cubic root of 312626226 is about 678.6957598704.

The spelling of 312626226 in words is "three hundred twelve million, six hundred twenty-six thousand, two hundred twenty-six".