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228503296 = 287294397
BaseRepresentation
bin11011001111010…
…10111100000000
3120220222011121001
431213222330000
5431444101141
634401341344
75443150240
oct1547527400
9526864531
10228503296
11107a909aa
1264637854
1338456c68
14224c1b20
15150d9a31
hexd9eaf00

228503296 has 72 divisors (see below), whose sum is σ = 539370720. Its totient is φ = 94531584.

The previous prime is 228503293. The next prime is 228503323. The reversal of 228503296 is 692305822.

228503296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228503293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49770 + ... + 54166.

It is an arithmetic number, because the mean of its divisors is an integer number (7491260).

Almost surely, 2228503296 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 228503296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269685360).

228503296 is an abundant number, since it is smaller than the sum of its proper divisors (310867424).

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

228503296 is an equidigital number, since it uses as much as digits as its factorization.

228503296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 228503296 is about 15116.3254794279. The cubic root of 228503296 is about 611.3606605965.

The spelling of 228503296 in words is "two hundred twenty-eight million, five hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 896 928 1624 1792 1856 3248 3712 4397 6496 7424 8794 12992 17588 25984 30779 35176 51968 61558 70352 123116 127513 140704 246232 255026 281408 492464 510052 562816 892591 984928 1020104 1125632 1785182 1969856 2040208 3570364 3939712 4080416 7140728 7879424 8160832 14281456 16321664 28562912 32643328 57125824 114251648 228503296