Search a number
-
+
222023205402152 = 237111232329248339
BaseRepresentation
bin110010011110110111001110…
…010010100011011000101000
31002010010012200220222222120012
4302132313032102203120220
5213100112011040332102
62104112015200551052
764523435001451250
oct6236671622433050
91063105626888505
10222023205402152
116481a570353280
1220a99702322488
1396b69105c226b
143cb7da260a960
151aa04ee287752
hexc9edce4a3628

222023205402152 has 64 divisors (see below), whose sum is σ = 519057420710400. Its totient is φ = 86495525000640.

The previous prime is 222023205402091. The next prime is 222023205402203. The reversal of 222023205402152 is 251204502320222.

222023205402152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2220232054021522 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7033202 + ... + 22215137.

It is an arithmetic number, because the mean of its divisors is an integer number (8110272198600).

Almost surely, 2222023205402152 is an apocalyptic number.

222023205402152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222023205402152 is an abundant number, since it is smaller than the sum of its proper divisors (297034215308248).

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

222023205402152 is a wasteful number, since it uses less digits than its factorization.

222023205402152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29260686 (or 29260682 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 222023205402152 its reverse (251204502320222), we get a palindrome (473227707722374).

The spelling of 222023205402152 in words is "two hundred twenty-two trillion, twenty-three billion, two hundred five million, four hundred two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 12323 24646 49292 86261 98584 135553 172522 271106 345044 542212 690088 948871 1084424 1897742 3795484 7590968 29248339 58496678 116993356 204738373 233986712 321731729 409476746 643463458 818953492 1286926916 1637906984 2252122103 2573853832 4504244206 9008488412 18016976824 360427281497 720854562994 1441709125988 2522990970479 2883418251976 3964700096467 5045981940958 7929400192934 10091963881916 15858800385868 20183927763832 27752900675269 31717600771736 55505801350538 111011602701076 222023205402152