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228115440 = 24345747107
BaseRepresentation
bin11011001100011…
…00001111110000
3120220020110120000
431212030033300
5431344143230
634345150000
75436643410
oct1546141760
9526213500
10228115440
11107846563
126448b300
133834c567
1422420640
151505eb60
hexd98c3f0

228115440 has 400 divisors, whose sum is σ = 933368832. Its totient is φ = 50554368.

The previous prime is 228115427. The next prime is 228115441. The reversal of 228115440 is 44511822.

228115440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228115441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2131867 + ... + 2131973.

Almost surely, 2228115440 is an apocalyptic number.

228115440 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 228115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466684416).

228115440 is an abundant number, since it is smaller than the sum of its proper divisors (705253392).

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

228115440 is a wasteful number, since it uses less digits than its factorization.

228115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 228115440 is about 15103.4909871857. The cubic root of 228115440 is about 611.0145617412.

The spelling of 228115440 in words is "two hundred twenty-eight million, one hundred fifteen thousand, four hundred forty".