228251520 has 640 divisors, whose sum is σ = 1013031360. Its totient is φ = 47775744.

The previous prime is 228251501. The next prime is 228251561. The reversal of 228251520 is 25152822.

228251520 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 (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6168942 + ... + 6168978.

Almost surely, 2^228251520 is an apocalyptic number.

228251520 is a gapful number since it is divisible by the number (20) 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 228251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506515680).

228251520 is an abundant number, since it is smaller than the sum of its proper divisors (784779840).

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

228251520 is a wasteful number, since it uses less digits than its factorization.

228251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 228251520 is about 15107.9952343122. The cubic root of 228251520 is about 611.1360358123.

The spelling of 228251520 in words is "two hundred twenty-eight million, two hundred fifty-one thousand, five hundred twenty".