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14229936 = 2432719743
BaseRepresentation
bin110110010010…
…000110110000
3222202221210200
4312102012300
512120324221
61224555200
7231644460
oct66220660
928687720
1014229936
11803a186
124922b00
132c42ca6
141c65ba0
1513b1426
hexd921b0

14229936 has 120 divisors (see below), whose sum is σ = 47973120. Its totient is φ = 3846528.

The previous prime is 14229931. The next prime is 14229937. The reversal of 14229936 is 63992241.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14229936.

It is not an unprimeable number, because it can be changed into a prime (14229931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18781 + ... + 19523.

It is an arithmetic number, because the mean of its divisors is an integer number (399776).

Almost surely, 214229936 is an apocalyptic number.

14229936 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 14229936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986560).

14229936 is an abundant number, since it is smaller than the sum of its proper divisors (33743184).

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

14229936 is a wasteful number, since it uses less digits than its factorization.

14229936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 774 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 14229936 is about 3772.2587398003. The cubic root of 14229936 is about 242.3265404956.

The spelling of 14229936 in words is "fourteen million, two hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 743 798 912 1008 1064 1197 1368 1486 1596 2128 2229 2394 2736 2972 3192 4458 4788 5201 5944 6384 6687 8916 9576 10402 11888 13374 14117 15603 17832 19152 20804 26748 28234 31206 35664 41608 42351 46809 53496 56468 62412 83216 84702 93618 98819 106992 112936 124824 127053 169404 187236 197638 225872 249648 254106 296457 338808 374472 395276 508212 592914 677616 748944 790552 889371 1016424 1185828 1581104 1778742 2032848 2371656 3557484 4743312 7114968 14229936