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12314433222 = 23271314295261
BaseRepresentation
bin10110111011111111…
…10101011011000110
31011210012210000122100
423131333311123012
5200204443330342
65353541012530
7614106645450
oct133577653306
934705700570
1012314433222
11524a1a3a43
1224780b4146
131213346ca0
1484b6ab2d0
154c1180e4c
hex2ddff56c6

12314433222 has 96 divisors (see below), whose sum is σ = 32867714880. Its totient is φ = 3244872960.

The previous prime is 12314433163. The next prime is 12314433233. The reversal of 12314433222 is 22233441321.

12314433222 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 4 + 433 + 222 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338072 + ... + 2343332.

It is an arithmetic number, because the mean of its divisors is an integer number (342372030).

Almost surely, 212314433222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12314433222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16433857440).

12314433222 is an abundant number, since it is smaller than the sum of its proper divisors (20553281658).

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

12314433222 is a wasteful number, since it uses less digits than its factorization.

12314433222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 6715 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 12314433222 its reverse (22233441321), we get a palindrome (34547874543).

The spelling of 12314433222 in words is "twelve billion, three hundred fourteen million, four hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1429 1638 2858 4287 5261 8574 10003 10522 12861 15783 18577 20006 25722 30009 31566 36827 37154 47349 55731 60018 68393 73654 90027 94698 110481 111462 130039 136786 167193 180054 205179 220962 260078 331443 334386 390117 410358 478751 615537 662886 780234 957502 1170351 1231074 1436253 2340702 2872506 4308759 7517969 8617518 15035938 22553907 45107814 52625783 67661721 97733597 105251566 135323442 157877349 195467194 293200791 315754698 473632047 586401582 684135179 879602373 947264094 1368270358 1759204746 2052405537 4104811074 6157216611 12314433222