228935146003200 has 3888 divisors, whose sum is σ = 1068161324237280. Its totient is φ = 48150425272320.

The previous prime is 228935146003169. The next prime is 228935146003307. The reversal of 228935146003200 is 2300641539822.

228935146003200 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 3 + 5 + 1 + 4 + 600 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×228935146003200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 722192889442 + ... + 722192889758.

Almost surely, 2^{228935146003200} is an apocalyptic number.

228935146003200 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 228935146003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534080662118640).

228935146003200 is an abundant number, since it is smaller than the sum of its proper divisors (839226178234080).

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

228935146003200 is an frugal number, since it uses more digits than its factorization.

228935146003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 228935146003200 in words is "two hundred twenty-eight trillion, nine hundred thirty-five billion, one hundred forty-six million, three thousand, two hundred".