228532003200 has 288 divisors, whose sum is σ = 816266505600. Its totient is φ = 60881203200.

The previous prime is 228532003163. The next prime is 228532003267. The reversal of 228532003200 is 2300235822.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34009441 + ... + 34016159.

It is an arithmetic number, because the mean of its divisors is an integer number (2834258700).

Almost surely, 2^228532003200 is an apocalyptic number.

228532003200 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 228532003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408133252800).

228532003200 is an abundant number, since it is smaller than the sum of its proper divisors (587734502400).

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

228532003200 is a wasteful number, since it uses less digits than its factorization.

228532003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 228532003200 in words is "two hundred twenty-eight billion, five hundred thirty-two million, three thousand, two hundred".