Search a number
-
+
222122102212000 = 2553431291407571
BaseRepresentation
bin110010100000010011010100…
…111111111100010110100000
31002010110122222012210110102101
4302200103110333330112200
5213103222031131241000
62104225252434500144
764533535521456034
oct6240232477742640
91063418865713371
10222122102212000
11648584aaa95281
1220ab4902734654
1396c30416a4c63
143cbcaa4d3c1c4
151aa2d8b70ae6a
hexca04d4ffc5a0

222122102212000 has 96 divisors (see below), whose sum is σ = 558445959175104. Its totient is φ = 86782588704000.

The previous prime is 222122102211991. The next prime is 222122102212009. The reversal of 222122102212000 is 212201221222.

It is an interprime number because it is at equal distance from previous prime (222122102211991) and next prime (222122102212009).

It is not an unprimeable number, because it can be changed into a prime (222122102212009) 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 15 ways as a sum of consecutive naturals, for example, 645531786 + ... + 645875785.

It is an arithmetic number, because the mean of its divisors is an integer number (5817145408074).

Almost surely, 2222122102212000 is an apocalyptic number.

222122102212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222122102212000 is an abundant number, since it is smaller than the sum of its proper divisors (336323856963104).

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

222122102212000 is a wasteful number, since it uses less digits than its factorization.

222122102212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291407639 (or 1291407621 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 222122102212000 its reverse (212201221222), we get a palindrome (222334303433222).

The spelling of 222122102212000 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, one hundred two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 8600 10750 17200 21500 34400 43000 86000 172000 1291407571 2582815142 5165630284 6457037855 10331260568 12914075710 20662521136 25828151420 32285189275 41325042272 51656302840 55530525553 64570378550 103312605680 111061051106 129140757100 161425946375 206625211360 222122102212 258281514200 277652627765 322851892750 444244204424 516563028400 555305255530 645703785500 888488408848 1033126056800 1110610511060 1291407571000 1388263138825 1776976817696 2221221022120 2582815142000 2776526277650 4442442044240 5165630284000 5553052555300 6941315694125 8884884088480 11106105110600 13882631388250 22212210221200 27765262776500 44424420442400 55530525553000 111061051106000 222122102212000