228910933440 has 1344 divisors, whose sum is σ = 997032499200. Its totient is φ = 48334454784.

The previous prime is 228910933439. The next prime is 228910933451. The reversal of 228910933440 is 44339019822.

228910933440 is a `hidden beast` number, since 22 + 89 + 109 + 3 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×228910933440² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2572032916 + ... + 2572033004.

Almost surely, 2^228910933440 is an apocalyptic number.

228910933440 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 228910933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498516249600).

228910933440 is an abundant number, since it is smaller than the sum of its proper divisors (768121565760).

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

228910933440 is a wasteful number, since it uses less digits than its factorization.

228910933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 228910933440 in words is "two hundred twenty-eight billion, nine hundred ten million, nine hundred thirty-three thousand, four hundred forty".