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14252256 = 2532174171
BaseRepresentation
bin110110010111…
…100011100000
3222211002102100
4312113203200
512122033011
61225250400
7232066524
oct66274340
928732370
1014252256
118054a27
124933a00
132c501b5
141c6dd84
1513b7d56
hexd978e0

14252256 has 144 divisors (see below), whose sum is σ = 44579808. Its totient is φ = 4300800.

The previous prime is 14252243. The next prime is 14252263. The reversal of 14252256 is 65225241.

14252256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200701 + ... + 200771.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 214252256 is an apocalyptic number.

14252256 is a gapful number since it is divisible by the number (16) 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 14252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289904).

14252256 is an abundant number, since it is smaller than the sum of its proper divisors (30327552).

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

14252256 is a wasteful number, since it uses less digits than its factorization.

14252256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 14252256 is about 3775.2160203093. The cubic root of 14252256 is about 242.4531726636.

Adding to 14252256 its reverse (65225241), we get a palindrome (79477497).

The spelling of 14252256 in words is "fourteen million, two hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 41 48 51 68 71 72 82 96 102 123 136 142 144 153 164 204 213 246 272 284 288 306 328 369 408 426 492 544 568 612 639 656 697 738 816 852 984 1136 1207 1224 1278 1312 1394 1476 1632 1704 1968 2091 2272 2414 2448 2556 2788 2911 2952 3408 3621 3936 4182 4828 4896 5112 5576 5822 5904 6273 6816 7242 8364 8733 9656 10224 10863 11152 11644 11808 12546 14484 16728 17466 19312 20448 21726 22304 23288 25092 26199 28968 33456 34932 38624 43452 46576 49487 50184 52398 57936 66912 69864 86904 93152 98974 100368 104796 115872 139728 148461 173808 197948 200736 209592 279456 296922 347616 395896 419184 445383 593844 791792 838368 890766 1187688 1583584 1781532 2375376 3563064 4750752 7126128 14252256