312250221 has 20 divisors (see below), whose sum is σ = 482535900. Its totient is φ = 200987136.

The previous prime is 312250193. The next prime is 312250241. The reversal of 312250221 is 122052213.

It can be written as a sum of positive squares in 2 ways, for example, as 199656900 + 112593321 = 14130^2 + 10611^2 .

It is not a de Polignac number, because 312250221 - 2⁶ = 312250157 is a prime.

It is a super-3 number, since 3×312250221³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312250194 and 312250203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312250241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64116 + ... + 68813.

It is an arithmetic number, because the mean of its divisors is an integer number (24126795).

Almost surely, 2^312250221 is an apocalyptic number.

It is an amenable number.

312250221 is a deficient number, since it is larger than the sum of its proper divisors (170285679).

312250221 is a wasteful number, since it uses less digits than its factorization.

312250221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132970 (or 132961 counting only the distinct ones).

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

The square root of 312250221 is about 17670.6033003970. The cubic root of 312250221 is about 678.4235547515.

The spelling of 312250221 in words is "three hundred twelve million, two hundred fifty thousand, two hundred twenty-one".