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228344760 = 233257313779
BaseRepresentation
bin11011001110001…
…00001110111000
3120220200010010100
431213010032320
5431424013020
634354115400
75441620110
oct1547041670
9526603110
10228344760
11107992886
126457bb60
13383cca57
1422480040
15150a7a90
hexd9c43b8

228344760 has 384 divisors, whose sum is σ = 910540800. Its totient is φ = 48522240.

The previous prime is 228344747. The next prime is 228344771. The reversal of 228344760 is 67443822.

228344760 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2890401 + ... + 2890479.

It is an arithmetic number, because the mean of its divisors is an integer number (2371200).

Almost surely, 2228344760 is an apocalyptic number.

228344760 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 228344760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455270400).

228344760 is an abundant number, since it is smaller than the sum of its proper divisors (682196040).

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

228344760 is a wasteful number, since it uses less digits than its factorization.

228344760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 228344760 is about 15111.0807025838. The cubic root of 228344760 is about 611.2192401749.

The spelling of 228344760 in words is "two hundred twenty-eight million, three hundred forty-four thousand, seven hundred sixty".