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228146760 = 23335211247
BaseRepresentation
bin11011001100100…
…11111001001000
3120220022001112000
431212103321020
5431401144020
634345551000
75440133622
oct1546237110
9526261460
10228146760
11107868046
12644a5460
13383608aa
142242bc12
1515069090
hexd993e48

228146760 has 64 divisors (see below), whose sum is σ = 760492800. Its totient is φ = 60838848.

The previous prime is 228146731. The next prime is 228146767. The reversal of 228146760 is 67641822.

228146760 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 not an unprimeable number, because it can be changed into a prime (228146767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104544 + ... + 106703.

It is an arithmetic number, because the mean of its divisors is an integer number (11882700).

Almost surely, 2228146760 is an apocalyptic number.

228146760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228146760 is an abundant number, since it is smaller than the sum of its proper divisors (532346040).

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

228146760 is a wasteful number, since it uses less digits than its factorization.

228146760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211267 (or 211257 counting only the distinct ones).

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

The square root of 228146760 is about 15104.5277979816. The cubic root of 228146760 is about 611.0425243381.

The spelling of 228146760 in words is "two hundred twenty-eight million, one hundred forty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 211247 422494 633741 844988 1056235 1267482 1689976 1901223 2112470 2534964 3168705 3802446 4224940 5069928 5703669 6337410 7604892 8449880 9506115 11407338 12674820 15209784 19012230 22814676 25349640 28518345 38024460 45629352 57036690 76048920 114073380 228146760