228756500 has 72 divisors (see below), whose sum is σ = 581234472. Its totient is φ = 78422400.

The previous prime is 228756499. The next prime is 228756529. The reversal of 228756500 is 5657822.

It can be written as a sum of positive squares in 4 ways, for example, as 988036 + 227768464 = 994^2 + 15092^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19832 + ... + 29168.

It is an arithmetic number, because the mean of its divisors is an integer number (8072701).

Almost surely, 2^228756500 is an apocalyptic number.

228756500 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 228756500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290617236).

228756500 is an abundant number, since it is smaller than the sum of its proper divisors (352477972).

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

228756500 is a wasteful number, since it uses less digits than its factorization.

228756500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9370 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 228756500 is about 15124.6983440993. The cubic root of 228756500 is about 611.5863930405.

The spelling of 228756500 in words is "two hundred twenty-eight million, seven hundred fifty-six thousand, five hundred".