228824640 has 336 divisors, whose sum is σ = 890113536. Its totient is φ = 53452800.

The previous prime is 228824633. The next prime is 228824653. The reversal of 228824640 is 46428822.

It is a happy number.

228824640 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 2 + 4 + 640 = 666.

It is a super-2 number, since 2×228824640² = 104721431742259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 228824595 and 228824604.

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, 981964 + ... + 982196.

Almost surely, 2^228824640 is an apocalyptic number.

228824640 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 228824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445056768).

228824640 is an abundant number, since it is smaller than the sum of its proper divisors (661288896).

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

228824640 is a wasteful number, since it uses less digits than its factorization.

228824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 228824640 is about 15126.9507832874. The cubic root of 228824640 is about 611.6471116937.

The spelling of 228824640 in words is "two hundred twenty-eight million, eight hundred twenty-four thousand, six hundred forty".