228681600 has 384 divisors, whose sum is σ = 892442880. Its totient is φ = 50380800.

The previous prime is 228681599. The next prime is 228681601. The reversal of 228681600 is 6186822.

It is an interprime number because it is at equal distance from previous prime (228681599) and next prime (228681601).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228681601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2755159 + ... + 2755241.

It is an arithmetic number, because the mean of its divisors is an integer number (2324070).

Almost surely, 2^228681600 is an apocalyptic number.

228681600 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 228681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446221440).

228681600 is an abundant number, since it is smaller than the sum of its proper divisors (663761280).

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

228681600 is a wasteful number, since it uses less digits than its factorization.

228681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 228681600 is about 15122.2220589436. Note that the first 3 decimals coincide. The cubic root of 228681600 is about 611.5196367280.

The spelling of 228681600 in words is "two hundred twenty-eight million, six hundred eighty-one thousand, six hundred".