228286960 has 80 divisors (see below), whose sum is σ = 604247040. Its totient is φ = 79397120.

The previous prime is 228286951. The next prime is 228286979. The reversal of 228286960 is 69682822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×228286960² = 104229872212083200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14601 + ... + 25879.

It is an arithmetic number, because the mean of its divisors is an integer number (7553088).

Almost surely, 2^228286960 is an apocalyptic number.

228286960 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 228286960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302123520).

228286960 is an abundant number, since it is smaller than the sum of its proper divisors (375960080).

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

228286960 is a wasteful number, since it uses less digits than its factorization.

228286960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11326 (or 11320 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 228286960 is about 15109.1680776938. The cubic root of 228286960 is about 611.1676639920.

The spelling of 228286960 in words is "two hundred twenty-eight million, two hundred eighty-six thousand, nine hundred sixty".