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12214253364 = 22317251263907
BaseRepresentation
bin10110110000000011…
…01011011100110100
31011112020021100201020
423120001223130310
5200003322101424
65340001501140
7611452304055
oct133001533464
934466240636
1012214253364
1151a869a375
12244a6417b0
1311c866c671
1483c27072c
154b7493079
hex2d806b734

12214253364 has 96 divisors (see below), whose sum is σ = 30445341696. Its totient is φ = 3797952000.

The previous prime is 12214253353. The next prime is 12214253377. The reversal of 12214253364 is 46335241221.

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, 13466199 + ... + 13467105.

It is an arithmetic number, because the mean of its divisors is an integer number (317138976).

Almost surely, 212214253364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12214253364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222670848).

12214253364 is an abundant number, since it is smaller than the sum of its proper divisors (18231088332).

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

12214253364 is a wasteful number, since it uses less digits than its factorization.

12214253364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1443 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

Adding to 12214253364 its reverse (46335241221), we get a palindrome (58549494585).

The spelling of 12214253364 in words is "twelve billion, two hundred fourteen million, two hundred fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 251 263 502 526 753 789 907 1004 1052 1506 1578 1814 2721 3012 3156 3628 4267 4471 5442 8534 8942 10884 12801 13413 15419 17068 17884 25602 26826 30838 46257 51204 53652 61676 66013 92514 132026 185028 198039 227657 238541 264052 396078 455314 477082 682971 715623 792156 910628 954164 1122221 1365942 1431246 2244442 2731884 2862492 3366663 3870169 4055197 4488884 6733326 7740338 8110394 11610507 12165591 13466652 15480676 16220788 23221014 24331182 46442028 48662364 59873791 119747582 179621373 239495164 359242746 718485492 1017854447 2035708894 3053563341 4071417788 6107126682 12214253364