228286880 has 72 divisors (see below), whose sum is σ = 573035148. Its totient is φ = 85925888.

The previous prime is 228286867. The next prime is 228286907. The reversal of 228286880 is 88682822.

It can be written as a sum of positive squares in 6 ways, for example, as 156850576 + 71436304 = 12524^2 + 8452^2 .

It is a super-2 number, since 2×228286880² = 104229799160268800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 43772 + ... + 48708.

Almost surely, 2^228286880 is an apocalyptic number.

228286880 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 228286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286517574).

228286880 is an abundant number, since it is smaller than the sum of its proper divisors (344748268).

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

228286880 is a wasteful number, since it uses less digits than its factorization.

228286880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The square root of 228286880 is about 15109.1654302943. The cubic root of 228286880 is about 611.1675926002.

The spelling of 228286880 in words is "two hundred twenty-eight million, two hundred eighty-six thousand, eight hundred eighty".