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12322230414 = 231334321739
BaseRepresentation
bin10110111100111011…
…00101000010001110
31011210202110011101020
423132131211002032
5200213442333124
65354420055010
7614233142004
oct133635450216
934722404336
1012322230414
11525363a0aa
12247a834466
131214b47000
1484c73aa74
154c1bc1379
hex2de76508e

12322230414 has 64 divisors (see below), whose sum is σ = 27319353600. Its totient is φ = 3703111776.

The previous prime is 12322230407. The next prime is 12322230433. The reversal of 12322230414 is 41403222321.

It is a happy number.

It is a super-2 number, since 2×123222304142 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555957 + ... + 577695.

It is an arithmetic number, because the mean of its divisors is an integer number (426864900).

Almost surely, 212322230414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322230414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659676800).

12322230414 is an abundant number, since it is smaller than the sum of its proper divisors (14997123186).

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

12322230414 is a wasteful number, since it uses less digits than its factorization.

12322230414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21826 (or 21800 counting only the distinct ones).

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

Adding to 12322230414 its reverse (41403222321), we get a palindrome (53725452735).

The spelling of 12322230414 in words is "twelve billion, three hundred twenty-two million, two hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 169 258 338 507 559 1014 1118 1677 2197 3354 4394 6591 7267 13182 14534 21739 21801 43478 43602 65217 94471 130434 188942 282607 283413 565214 566826 847821 934777 1695642 1869554 2804331 3673891 5608662 7347782 11021673 12152101 22043346 24304202 36456303 47760583 72912606 95521166 143281749 157977313 286563498 315954626 473931939 947863878 2053705069 4107410138 6161115207 12322230414