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14228872 = 2371943311
BaseRepresentation
bin110110010001…
…110110001000
3222202220100021
4312101312020
512120310442
61224550224
7231641410
oct66216610
928686307
1014228872
1180393a9
124922374
132c42668
141c65640
1513b0e67
hexd91d88

14228872 has 64 divisors (see below), whose sum is σ = 32947200. Its totient is φ = 5624640.

The previous prime is 14228869. The next prime is 14228873. The reversal of 14228872 is 27882241.

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

It is not an unprimeable number, because it can be changed into a prime (14228873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45597 + ... + 45907.

It is an arithmetic number, because the mean of its divisors is an integer number (514800).

Almost surely, 214228872 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 14228872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473600).

14228872 is an abundant number, since it is smaller than the sum of its proper divisors (18718328).

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

14228872 is a wasteful number, since it uses less digits than its factorization.

14228872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

The product of its digits is 14336, while the sum is 34.

The square root of 14228872 is about 3772.1177076014. The cubic root of 14228872 is about 242.3205006027.

The spelling of 14228872 in words is "fourteen million, two hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 43 56 76 86 133 152 172 266 301 311 344 532 602 622 817 1064 1204 1244 1634 2177 2408 2488 3268 4354 5719 5909 6536 8708 11438 11818 13373 17416 22876 23636 26746 41363 45752 47272 53492 82726 93611 106984 165452 187222 254087 330904 374444 508174 748888 1016348 1778609 2032696 3557218 7114436 14228872