228140640 has 288 divisors, whose sum is σ = 958741056. Its totient is φ = 48107520.

The previous prime is 228140639. The next prime is 228140659. The reversal of 228140640 is 46041822.

228140640 is a `hidden beast` number, since 2 + 2 + 8 + 14 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130170 + ... + 131910.

It is an arithmetic number, because the mean of its divisors is an integer number (3328962).

Almost surely, 2^228140640 is an apocalyptic number.

228140640 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 228140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479370528).

228140640 is an abundant number, since it is smaller than the sum of its proper divisors (730600416).

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

228140640 is a wasteful number, since it uses less digits than its factorization.

228140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 228140640 is about 15104.3252083633. The cubic root of 228140640 is about 611.0370605836.

The spelling of 228140640 in words is "two hundred twenty-eight million, one hundred forty thousand, six hundred forty".