228759960 has 128 divisors (see below), whose sum is σ = 806319360. Its totient is φ = 51187200.

The previous prime is 228759913. The next prime is 228759967. The reversal of 228759960 is 69957822.

It is a super-2 number, since 2×228759960² = 104662238598403200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228759967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10495 + ... + 23825.

It is an arithmetic number, because the mean of its divisors is an integer number (6299370).

Almost surely, 2^228759960 is an apocalyptic number.

228759960 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 228759960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403159680).

228759960 is an abundant number, since it is smaller than the sum of its proper divisors (577559400).

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

228759960 is a wasteful number, since it uses less digits than its factorization.

228759960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13369 (or 13365 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 228759960 is about 15124.8127261133. The cubic root of 228759960 is about 611.5894764914.

The spelling of 228759960 in words is "two hundred twenty-eight million, seven hundred fifty-nine thousand, nine hundred sixty".