228015600 has 120 divisors (see below), whose sum is σ = 736202880. Its totient is φ = 60322560.

The previous prime is 228015551. The next prime is 228015677. The reversal of 228015600 is 6510822.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×228015600² = 103982227686720000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166117 + ... + 167483.

It is an arithmetic number, because the mean of its divisors is an integer number (6135024).

Almost surely, 2^228015600 is an apocalyptic number.

228015600 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 228015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368101440).

228015600 is an abundant number, since it is smaller than the sum of its proper divisors (508187280).

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

228015600 is a wasteful number, since it uses less digits than its factorization.

228015600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 228015600 is about 15100.1854293250. The cubic root of 228015600 is about 610.9254071799.

The spelling of 228015600 in words is "two hundred twenty-eight million, fifteen thousand, six hundred".