251226160 has 40 divisors (see below), whose sum is σ = 585270576. Its totient is φ = 100289280.

The previous prime is 251226089. The next prime is 251226163. The reversal of 251226160 is 61622152.

251226160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×251226160³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (251226163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40890 + ... + 46630.

Almost surely, 2^251226160 is an apocalyptic number.

251226160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251226160 is an abundant number, since it is smaller than the sum of its proper divisors (334044416).

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

251226160 is a wasteful number, since it uses less digits than its factorization.

251226160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6301 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 251226160 is about 15850.1154569927. The cubic root of 251226160 is about 630.9887556044.

The spelling of 251226160 in words is "two hundred fifty-one million, two hundred twenty-six thousand, one hundred sixty".