228240600 has 192 divisors, whose sum is σ = 835184640. Its totient is φ = 50457600.

The previous prime is 228240553. The next prime is 228240611. The reversal of 228240600 is 6042822.

228240600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 129324 + ... + 131076.

It is an arithmetic number, because the mean of its divisors is an integer number (4349920).

Almost surely, 2^228240600 is an apocalyptic number.

228240600 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 228240600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417592320).

228240600 is an abundant number, since it is smaller than the sum of its proper divisors (606944040).

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

228240600 is a wasteful number, since it uses less digits than its factorization.

228240600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 228240600 is about 15107.6338319407. The cubic root of 228240600 is about 611.1262896750.

The spelling of 228240600 in words is "two hundred twenty-eight million, two hundred forty thousand, six hundred".