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14229024 = 2531929269
BaseRepresentation
bin110110010001…
…111000100000
3222202220112220
4312101320200
512120312044
61224551040
7231642015
oct66217040
928686486
1014229024
118039527
124922480
132c42754
141c6570c
1513b1019
hexd91e20

14229024 has 96 divisors (see below), whose sum is σ = 40824000. Its totient is φ = 4322304.

The previous prime is 14229011. The next prime is 14229029. The reversal of 14229024 is 42092241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14228985 and 14229003.

It is not an unprimeable number, because it can be changed into a prime (14229029) 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, 52762 + ... + 53030.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 214229024 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 14229024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412000).

14229024 is an abundant number, since it is smaller than the sum of its proper divisors (26594976).

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

14229024 is a wasteful number, since it uses less digits than its factorization.

14229024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14229024 is about 3772.1378553812. The cubic root of 14229024 is about 242.3213634630.

The spelling of 14229024 in words is "fourteen million, two hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 152 174 228 232 269 304 348 456 464 538 551 608 696 807 912 928 1076 1102 1392 1614 1653 1824 2152 2204 2784 3228 3306 4304 4408 5111 6456 6612 7801 8608 8816 10222 12912 13224 15333 15602 17632 20444 23403 25824 26448 30666 31204 40888 46806 52896 61332 62408 81776 93612 122664 124816 148219 163552 187224 245328 249632 296438 374448 444657 490656 592876 748896 889314 1185752 1778628 2371504 3557256 4743008 7114512 14229024