Search a number
-
+
222320433224313 = 34137349188930389
BaseRepresentation
bin110010100011001100000010…
…011100101101101001111001
31002011011121220020120210020000
4302203030002130231221321
5213114444221401134223
62104500332544423213
764554056405323524
oct6243140234555171
91064147806523200
10222320433224313
1164924625745306
1220b27233317b09
13970895acb5548
143cc851b4cbbbb
151aa80e83a5543
hexca330272da79

222320433224313 has 80 divisors (see below), whose sum is σ = 335679643530000. Its totient is φ = 146627699171328.

The previous prime is 222320433224273. The next prime is 222320433224327. The reversal of 222320433224313 is 313422334023222.

222320433224313 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 2 + 0 + 4 + 332 + 2 + 4 + 313 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14506066194489 + 207814367029824 = 3808683^2 + 14415768^2 .

It is not a de Polignac number, because 222320433224313 - 213 = 222320433216121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222320433224333) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 7315804123 + ... + 7315834511.

It is an arithmetic number, because the mean of its divisors is an integer number (4195995544125).

Almost surely, 2222320433224313 is an apocalyptic number.

It is an amenable number.

222320433224313 is a deficient number, since it is larger than the sum of its proper divisors (113359210305687).

222320433224313 is a wasteful number, since it uses less digits than its factorization.

222320433224313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32776 (or 32767 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 222320433224313 its reverse (313422334023222), we get a palindrome (535742767247535).

The spelling of 222320433224313 in words is "two hundred twenty-two trillion, three hundred twenty billion, four hundred thirty-three million, two hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 3 9 27 81 137 349 411 1047 1233 1889 3141 3699 5667 9423 11097 17001 28269 30389 47813 51003 91167 143439 153009 258793 273501 430317 659261 776379 820503 1290951 1977783 2329137 2461509 3872853 4163293 5933349 6987411 10605761 12489879 17800047 20962233 31817283 37469637 53400141 57404821 90318757 95451849 112408911 172214463 270956271 286355547 337226733 516643389 812868813 859066641 1452989257 1549930167 2438606439 4358967771 4649790501 7315819317 7864460477 13076903313 20034282529 23593381431 39230709939 60102847587 70780144293 117692129817 180308542761 212340432879 540925628283 637021298637 1622776884849 2744696706473 8234090119419 24702270358257 74106811074771 222320433224313