Search a number
-
+
214522000225412 = 221121093740525489
BaseRepresentation
bin110000110001101101001011…
…100111101011010010000100
31001010120002210001001222020212
4300301231023213223102010
5211104212024024203122
62040130014005014552
763120463101462515
oct6061551347532204
91033502701058225
10214522000225412
11623982a6606400
12200879739b4458
139291451261349
143ad8cc50b4a0c
1519c0322245ce2
hexc31b4b9eb484

214522000225412 has 36 divisors (see below), whose sum is σ = 412682330756220. Its totient is φ = 97501082088960.

The previous prime is 214522000225397. The next prime is 214522000225441.

214522000225412 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 116619999257476 + 97902000967936 = 10799074^2 + 9894544^2 .

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 11 ways as a sum of consecutive naturals, for example, 14969237 + ... + 25556252.

Almost surely, 2214522000225412 is an apocalyptic number.

214522000225412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214522000225412 is a deficient number, since it is larger than the sum of its proper divisors (198160330530808).

214522000225412 is a wasteful number, since it uses less digits than its factorization.

214522000225412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40536452 (or 40536439 counting only the distinct ones).

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

It can be divided in two parts, 214522000 and 225412, that added together give a palindrome (214747412).

The spelling of 214522000225412 in words is "two hundred fourteen trillion, five hundred twenty-two billion, two hundred twenty-five thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 121 242 484 10937 21874 43748 120307 240614 481228 1323377 2646754 5293508 40525489 81050978 162101956 445780379 891560758 1783121516 4903584169 9807168338 19614336676 443227273193 886454546386 1772909092772 4875500005123 9751000010246 19502000020492 53630500056353 107261000112706 214522000225412