228947040 has 384 divisors, whose sum is σ = 937681920. Its totient is φ = 51093504.

The previous prime is 228947003. The next prime is 228947051. The reversal of 228947040 is 40749822.

228947040 = 331² + 332² + ... + 897².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 228946986 and 228947004.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2026024 + ... + 2026136.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2^228947040 is an apocalyptic number.

228947040 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 228947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468840960).

228947040 is an abundant number, since it is smaller than the sum of its proper divisors (708734880).

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

228947040 is a wasteful number, since it uses less digits than its factorization.

228947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 228947040 is about 15130.9960015856. The cubic root of 228947040 is about 611.7561504489.

The spelling of 228947040 in words is "two hundred twenty-eight million, nine hundred forty-seven thousand, forty".