251226112 has 48 divisors (see below), whose sum is σ = 505404900. Its totient is φ = 124846080.

The previous prime is 251226089. The next prime is 251226163. The reversal of 251226112 is 211622152.

It can be written as a sum of positive squares in 2 ways, for example, as 229098496 + 22127616 = 15136^2 + 4704^2 .

It is a super-2 number, since 2×251226112² = 126229118701273088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 493314 + ... + 493822.

Almost surely, 2^251226112 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 251226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252702450).

251226112 is an abundant number, since it is smaller than the sum of its proper divisors (254178788).

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

251226112 is an equidigital number, since it uses as much as digits as its factorization.

251226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 752 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 251226112 is about 15850.1139428081. The cubic root of 251226112 is about 630.9887154183.

Adding to 251226112 its reverse (211622152), we get a palindrome (462848264).

The spelling of 251226112 in words is "two hundred fifty-one million, two hundred twenty-six thousand, one hundred twelve".