228001539200 has 216 divisors, whose sum is σ = 590396948505. Its totient is φ = 86997672960.

The previous prime is 228001539197. The next prime is 228001539229. The reversal of 228001539200 is 2935100822.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 223441508416 + 4560030784 = 472696^2 + 67528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=337640.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 26 ways as a sum of consecutive naturals, for example, 621257417 + ... + 621257783.

Almost surely, 2^228001539200 is an apocalyptic number.

228001539200 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 228001539200

228001539200 is an abundant number, since it is smaller than the sum of its proper divisors (362395409305).

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

228001539200 is an frugal number, since it uses more digits than its factorization.

228001539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Multiplying 228001539200 by its sum of digits (32), we get a square (7296049254400 = 2701120²).

228001539200 divided by its sum of digits (32) gives a square (7125048100 = 84410²).

The spelling of 228001539200 in words is "two hundred twenty-eight billion, one million, five hundred thirty-nine thousand, two hundred".