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214297420461228 = 223413228722246537
BaseRepresentation
bin110000101110011100000001…
…100111110111010010101100
31001002202122002200121220010000
4300232130001213313102230
5211042022104114224403
62035434513105144300
763065322565126446
oct6056340147672254
91032678080556100
10214297420461228
1162311031145605
122005033862b090
1392762107b3b10
143acc09c79b496
1519b957ae5d7a3
hexc2e7019f74ac

214297420461228 has 120 divisors (see below), whose sum is σ = 603573136117952. Its totient is φ = 65908833359616.

The previous prime is 214297420461227. The next prime is 214297420461359. The reversal of 214297420461228 is 822164024792412.

214297420461228 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 97 + 420 + 4 + 6 + 122 + 8 = 666.

214297420461228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (214297420461221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1490425 + ... + 20756112.

Almost surely, 2214297420461228 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 214297420461228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301786568058976).

214297420461228 is an abundant number, since it is smaller than the sum of its proper divisors (389275715656724).

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

214297420461228 is a wasteful number, since it uses less digits than its factorization.

214297420461228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22248853 (or 22248842 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 214297420461228 in words is "two hundred fourteen trillion, two hundred ninety-seven billion, four hundred twenty million, four hundred sixty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 2287 4212 4574 6861 9148 13722 20583 27444 29731 41166 59462 61749 82332 89193 118924 123498 178386 185247 246996 267579 356772 370494 535158 740988 802737 1070316 1605474 2408211 3210948 4816422 9632844 22246537 44493074 66739611 88986148 133479222 200218833 266958444 289204981 400437666 578409962 600656499 800875332 867614943 1156819924 1201312998 1735229886 1801969497 2402625996 2602844829 3470459772 3603938994 5205689658 7207877988 7808534487 10411379316 15617068974 23425603461 31234137948 46851206922 50877830119 93702413844 101755660238 152633490357 203511320476 305266980714 457900471071 610533961428 661411791547 915800942142 1322823583094 1373701413213 1831601884284 1984235374641 2645647166188 2747402826426 3968470749282 4121104239639 5494805652852 5952706123923 7936941498564 8242208479278 11905412247846 16484416958556 17858118371769 23810824495692 35716236743538 53574355115307 71432473487076 107148710230614 214297420461228