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12214400430 = 235443919067
BaseRepresentation
bin10110110000000100…
…01111010110101110
31011112020112211110010
423120002033112232
5200003341303210
65340004554050
7611453455611
oct133002172656
934466484403
1012214400430
1151a878a911
12244a6b2926
1311c86c159b
1483c2ac178
154b74c1920
hex2d808f5ae

12214400430 has 32 divisors (see below), whose sum is σ = 29380765824. Its totient is φ = 3249817376.

The previous prime is 12214400353. The next prime is 12214400461. The reversal of 12214400430 is 3400441221.

12214400430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12214400397 and 12214400406.

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 15 ways as a sum of consecutive naturals, for example, 446244 + ... + 472823.

It is an arithmetic number, because the mean of its divisors is an integer number (918148932).

Almost surely, 212214400430 is an apocalyptic number.

12214400430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12214400430 is an abundant number, since it is smaller than the sum of its proper divisors (17166365394).

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

12214400430 is a wasteful number, since it uses less digits than its factorization.

12214400430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919520.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12214400430 its reverse (3400441221), we get a palindrome (15614841651).

The spelling of 12214400430 in words is "twelve billion, two hundred fourteen million, four hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 443 886 1329 2215 2658 4430 6645 13290 919067 1838134 2757201 4595335 5514402 9190670 13786005 27572010 407146681 814293362 1221440043 2035733405 2442880086 4071466810 6107200215 12214400430