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14022168 = 2333147401
BaseRepresentation
bin110101011111…
…011000011000
3222101101210120
4311133120120
512042202133
61220313240
7230120646
oct65373030
928341716
1014022168
117a08076
124842820
132b9c554
141c10196
15136eab3
hexd5f618

14022168 has 64 divisors (see below), whose sum is σ = 37048320. Its totient is φ = 4416000.

The previous prime is 14022143. The next prime is 14022187. The reversal of 14022168 is 86122041.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34768 + ... + 35168.

It is an arithmetic number, because the mean of its divisors is an integer number (578880).

Almost surely, 214022168 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 14022168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18524160).

14022168 is an abundant number, since it is smaller than the sum of its proper divisors (23026152).

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

14022168 is a wasteful number, since it uses less digits than its factorization.

14022168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14022168 is about 3744.6185386498. The cubic root of 14022168 is about 241.1413689382.

It can be divided in two parts, 1402 and 2168, that added together give a triangular number (3570 = T84).

The spelling of 14022168 in words is "fourteen million, twenty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 248 282 372 376 401 564 744 802 1128 1203 1457 1604 2406 2914 3208 4371 4812 5828 8742 9624 11656 12431 17484 18847 24862 34968 37293 37694 49724 56541 74586 75388 99448 113082 149172 150776 226164 298344 452328 584257 1168514 1752771 2337028 3505542 4674056 7011084 14022168