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14229864 = 23331153113
BaseRepresentation
bin110110010010…
…000101101000
3222202221201000
4312102011220
512120323424
61224555000
7231644325
oct66220550
928687630
1014229864
11803a120
124922a60
132c42c4c
141c65b4c
1513b13c9
hexd92168

14229864 has 128 divisors (see below), whose sum is σ = 44323200. Its totient is φ = 4193280.

The previous prime is 14229827. The next prime is 14229883. The reversal of 14229864 is 46892241.

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.

Its product of digits (27648) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125872 + ... + 125984.

It is an arithmetic number, because the mean of its divisors is an integer number (346275).

Almost surely, 214229864 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 14229864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161600).

14229864 is an abundant number, since it is smaller than the sum of its proper divisors (30093336).

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

14229864 is a wasteful number, since it uses less digits than its factorization.

14229864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 14229864 is about 3772.2491964344. The cubic root of 14229864 is about 242.3261317905.

The spelling of 14229864 in words is "fourteen million, two hundred twenty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 53 54 66 72 88 99 106 108 113 132 159 198 212 216 226 264 297 318 339 396 424 452 477 583 594 636 678 792 904 954 1017 1166 1188 1243 1272 1356 1431 1749 1908 2034 2332 2376 2486 2712 2862 3051 3498 3729 3816 4068 4664 4972 5247 5724 5989 6102 6996 7458 8136 9944 10494 11187 11448 11978 12204 13992 14916 15741 17967 20988 22374 23956 24408 29832 31482 33561 35934 41976 44748 47912 53901 62964 65879 67122 71868 89496 107802 125928 131758 134244 143736 161703 197637 215604 263516 268488 323406 395274 431208 527032 592911 646812 790548 1185822 1293624 1581096 1778733 2371644 3557466 4743288 7114932 14229864