228748199040 has 160 divisors (see below), whose sum is σ = 816901305660. Its totient is φ = 60999505920.

The previous prime is 228748199039. The next prime is 228748199093. The reversal of 228748199040 is 40991847822.

228748199040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 189057996864 + 39690202176 = 434808^2 + 199224^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×228748199040³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2154451 + ... + 2258130.

Almost surely, 2^228748199040 is an apocalyptic number.

228748199040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228748199040 is an abundant number, since it is smaller than the sum of its proper divisors (588153106620).

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

228748199040 is an equidigital number, since it uses as much as digits as its factorization.

228748199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412612 (or 4412591 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 228748199040 in words is "two hundred twenty-eight billion, seven hundred forty-eight million, one hundred ninety-nine thousand, forty".