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214252252412 = 221127923324049
BaseRepresentation
bin1100011110001001101…
…1011110110011111100
3202111000121102010022212
43013202123132303330
512002242034034122
6242232013155552
721323241045212
oct3074233366374
9674017363285
10214252252412
11829558a1400
123563478bbb8
1317285c7ba23
14a526c9ccb2
15588e7d3ce2
hex31e26decfc

214252252412 has 72 divisors (see below), whose sum is σ = 419151096000. Its totient is φ = 95737973760.

The previous prime is 214252252397. The next prime is 214252252481.

214252252412 is nontrivially palindromic in base 10.

214252252412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 8896964 + ... + 8921012.

It is an arithmetic number, because the mean of its divisors is an integer number (5821543000).

Almost surely, 2214252252412 is an apocalyptic number.

214252252412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214252252412 is a deficient number, since it is larger than the sum of its proper divisors (204898843588).

214252252412 is a wasteful number, since it uses less digits than its factorization.

214252252412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24387 (or 24374 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

It can be divided in two parts, 214252 and 252412, that added together give a palindrome (466664).

The spelling of 214252252412 in words is "two hundred fourteen billion, two hundred fifty-two million, two hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 79 121 158 233 242 316 466 484 869 932 1738 2563 3476 5126 9559 10252 18407 19118 24049 28193 36814 38236 48098 56386 73628 96196 112772 202477 264539 404954 529078 809908 1058156 1899871 2227247 2909929 3799742 4454494 5603417 5819858 7599484 8908988 11206834 11639716 20898581 22413668 41797162 61637587 83594324 123275174 229884391 246550348 442669943 459768782 678013457 885339886 919537564 1356026914 1770679772 2712053828 4869369373 9738738746 19477477492 53563063103 107126126206 214252252412