228191040 has 560 divisors, whose sum is σ = 1024493760. Its totient is φ = 47416320.

The previous prime is 228191039. The next prime is 228191087. The reversal of 228191040 is 40191822.

228191040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 228190995 and 228191013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20744635 + ... + 20744645.

Almost surely, 2^228191040 is an apocalyptic number.

228191040 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 228191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512246880).

228191040 is an abundant number, since it is smaller than the sum of its proper divisors (796302720).

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

228191040 is an equidigital number, since it uses as much as digits as its factorization.

228191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 228191040 is about 15105.9935125102. The cubic root of 228191040 is about 611.0820532985.

The spelling of 228191040 in words is "two hundred twenty-eight million, one hundred ninety-one thousand, forty".