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228483288 = 2333112337113
BaseRepresentation
bin11011001111001…
…10000011011000
3120220221011011000
431213212003120
5431442431123
634401105000
75443035015
oct1547460330
9526834130
10228483288
11107a77970
1264628160
133844ab17
14224b870c
15150d3b43
hexd9e60d8

228483288 has 256 divisors, whose sum is σ = 748569600. Its totient is φ = 63866880.

The previous prime is 228483271. The next prime is 228483289. The reversal of 228483288 is 882384822.

It is a happy number.

228483288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2284832882 = 104409225790581888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228483289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2021920 + ... + 2022032.

It is an arithmetic number, because the mean of its divisors is an integer number (2924100).

Almost surely, 2228483288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228483288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374284800).

228483288 is an abundant number, since it is smaller than the sum of its proper divisors (520086312).

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

228483288 is a wasteful number, since it uses less digits than its factorization.

228483288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 228483288 is about 15115.6636638951. The cubic root of 228483288 is about 611.3428162717.

The spelling of 228483288 in words is "two hundred twenty-eight million, four hundred eighty-three thousand, two hundred eighty-eight".