251228016 has 120 divisors (see below), whose sum is σ = 775030256. Its totient is φ = 75479040.

The previous prime is 251227939. The next prime is 251228027. The reversal of 251228016 is 610822152.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78936 + ... + 82056.

Almost surely, 2^251228016 is an apocalyptic number.

251228016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251228016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387515128).

251228016 is an abundant number, since it is smaller than the sum of its proper divisors (523802240).

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

251228016 is a wasteful number, since it uses less digits than its factorization.

251228016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 251228016 is about 15850.1740053540. The cubic root of 251228016 is about 630.9903094663.

The spelling of 251228016 in words is "two hundred fifty-one million, two hundred twenty-eight thousand, sixteen".