Search a number
-
+
14322100 = 22521323479
BaseRepresentation
bin110110101000…
…100110110100
3222221122020011
4312220212310
512131301400
61230550004
7232510252
oct66504664
928848204
1014322100
1180a2451
124968304
132c75c20
141c8b5d2
1513cd8ba
hexda89b4

14322100 has 72 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 5047680.

The previous prime is 14322083. The next prime is 14322127. The reversal of 14322100 is 122341.

14322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 29661 + ... + 30139.

It is an arithmetic number, because the mean of its divisors is an integer number (486080).

Almost surely, 214322100 is an apocalyptic number.

14322100 is a gapful number since it is divisible by the number (10) 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 14322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

14322100 is an abundant number, since it is smaller than the sum of its proper divisors (20675660).

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

14322100 is a wasteful number, since it uses less digits than its factorization.

14322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 14322100 is about 3784.4550466349. The cubic root of 14322100 is about 242.8485793652.

Adding to 14322100 its reverse (122341), we get a palindrome (14444441).

The spelling of 14322100 in words is "fourteen million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 479 575 598 650 958 1150 1196 1300 1495 1916 2300 2395 2990 4790 5980 6227 7475 9580 11017 11975 12454 14950 22034 23950 24908 29900 31135 44068 47900 55085 62270 110170 124540 143221 155675 220340 275425 286442 311350 550850 572884 622700 716105 1101700 1432210 2864420 3580525 7161050 14322100