228630240 has 72 divisors (see below), whose sum is σ = 780205608. Its totient is φ = 60967680.

The previous prime is 228630221. The next prime is 228630271. The reversal of 228630240 is 42036822.

228630240 is a `hidden beast` number, since 2 + 2 + 8 + 630 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×228630240³ (a number of 26 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 77946 + ... + 80825.

It is an arithmetic number, because the mean of its divisors is an integer number (10836189).

Almost surely, 2^228630240 is an apocalyptic number.

228630240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228630240 is an abundant number, since it is smaller than the sum of its proper divisors (551575368).

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

228630240 is a wasteful number, since it uses less digits than its factorization.

228630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158792 (or 158781 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 228630240 is about 15120.5238004508. The cubic root of 228630240 is about 611.4738525457.

The spelling of 228630240 in words is "two hundred twenty-eight million, six hundred thirty thousand, two hundred forty".