228311447200 has 72 divisors (see below), whose sum is σ = 557728170300. Its totient is φ = 91265126400.

The previous prime is 228311447179. The next prime is 228311447209. The reversal of 228311447200 is 2744113822.

It can be written as a sum of positive squares in 6 ways, for example, as 74775996304 + 153535450896 = 273452^2 + 391836^2 .

It is a super-2 number, since 2×228311447200² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228311447209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1147080 + ... + 1331320.

Almost surely, 2^228311447200 is an apocalyptic number.

228311447200 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 228311447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278864085150).

228311447200 is an abundant number, since it is smaller than the sum of its proper divisors (329416723100).

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

228311447200 is a wasteful number, since it uses less digits than its factorization.

228311447200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185810 (or 185797 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 228311447200 in words is "two hundred twenty-eight billion, three hundred eleven million, four hundred forty-seven thousand, two hundred".