228951520 has 288 divisors, whose sum is σ = 698090400. Its totient is φ = 70447104.

The previous prime is 228951517. The next prime is 228951533. The reversal of 228951520 is 25159822.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4319814 + ... + 4319866.

It is an arithmetic number, because the mean of its divisors is an integer number (2423925).

Almost surely, 2^228951520 is an apocalyptic number.

228951520 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 228951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349045200).

228951520 is an abundant number, since it is smaller than the sum of its proper divisors (469138880).

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

228951520 is a wasteful number, since it uses less digits than its factorization.

228951520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 228951520 is about 15131.1440413473. The cubic root of 228951520 is about 611.7601406725.

The spelling of 228951520 in words is "two hundred twenty-eight million, nine hundred fifty-one thousand, five hundred twenty".