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14232221304 = 2337222215449
BaseRepresentation
bin11010100000100111…
…00111011001111000
31100201212102202022120
431100103213121320
5213121422040204
610312125521240
71012454612400
oct152023473170
940655382276
1014232221304
116043799574
122912413220
13145a768232
14990285800
155847046d9
hex3504e7678

14232221304 has 96 divisors (see below), whose sum is σ = 41415858000. Its totient is φ = 4063772160.

The previous prime is 14232221261. The next prime is 14232221321. The reversal of 14232221304 is 40312223241.

It is a happy number.

14232221304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142322213042 (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2609172 + ... + 2614620.

Almost surely, 214232221304 is an apocalyptic number.

14232221304 is a gapful number since it is divisible by the number (14) 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 14232221304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20707929000).

14232221304 is an abundant number, since it is smaller than the sum of its proper divisors (27183636696).

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

14232221304 is a wasteful number, since it uses less digits than its factorization.

14232221304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7693 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14232221304 its reverse (40312223241), we get a palindrome (54544444545).

The spelling of 14232221304 in words is "fourteen billion, two hundred thirty-two million, two hundred twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2221 4442 5449 6663 8884 10898 13326 15547 16347 17768 21796 26652 31094 32694 38143 43592 46641 53304 62188 65388 76286 93282 108829 114429 124376 130776 152572 186564 217658 228858 267001 305144 326487 373128 435316 457716 534002 652974 801003 870632 915432 1068004 1305948 1602006 2136008 2611896 3204012 6408024 12102229 24204458 36306687 48408916 72613374 84715603 96817832 145226748 169431206 254146809 290453496 338862412 508293618 593009221 677724824 1016587236 1186018442 1779027663 2033174472 2372036884 3558055326 4744073768 7116110652 14232221304