228969300 has 144 divisors (see below), whose sum is σ = 764951040. Its totient is φ = 51795840.

The previous prime is 228969269. The next prime is 228969319. The reversal of 228969300 is 3969822.

228969300 is a nontrivial binomial coefficient, being equal to C(21400, 2).

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, 224191 + ... + 225209.

It is an arithmetic number, because the mean of its divisors is an integer number (5312160).

Almost surely, 2^228969300 is an apocalyptic number.

228969300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

228969300 is the 21399-th triangular number and also the 10700-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228969300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382475520).

228969300 is an abundant number, since it is smaller than the sum of its proper divisors (535981740).

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

228969300 is a wasteful number, since it uses less digits than its factorization.

228969300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 228969300 is about 15131.7315598711. The cubic root of 228969300 is about 611.7759763594.

It can be divided in two parts, 228 and 969300, that added together give a triangular number (969528 = T₁₃₉₂).

The spelling of 228969300 in words is "two hundred twenty-eight million, nine hundred sixty-nine thousand, three hundred".