228924540 has 216 divisors, whose sum is σ = 792163008. Its totient is φ = 53187840.

The previous prime is 228924539. The next prime is 228924547. The reversal of 228924540 is 45429822.

228924540 is a `hidden beast` number, since 2 + 28 + 92 + 4 + 540 = 666.

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 = 228924495 and 228924504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228924547) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 844605 + ... + 844875.

Almost surely, 2^228924540 is an apocalyptic number.

228924540 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 228924540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396081504).

228924540 is an abundant number, since it is smaller than the sum of its proper divisors (563238468).

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

228924540 is a wasteful number, since it uses less digits than its factorization.

228924540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 228924540 is about 15130.2524764129. The cubic root of 228924540 is about 611.7361094759.

The spelling of 228924540 in words is "two hundred twenty-eight million, nine hundred twenty-four thousand, five hundred forty".