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222421140041031 = 32431279449360147
BaseRepresentation
bin110010100100101001110101…
…000010101110110101000111
31002011112020211200020010201200
4302210221311002232311013
5213123121443322303111
62105014510001153543
764564253124204261
oct6244516502566507
91064466750203650
10222421140041031
1164963304056258
1220b4285992b8b3
1397152ba080019
143ccd35237cb31
151aaaa3e6ac256
hexca4a750aed47

222421140041031 has 24 divisors (see below), whose sum is σ = 329003525959680. Its totient is φ = 144719131180176.

The previous prime is 222421140041021. The next prime is 222421140041059. The reversal of 222421140041031 is 130140041124222.

222421140041031 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 211 + 4 + 0 + 0 + 410 + 31 = 666.

222421140041031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222421140041031 - 210 = 222421140040007 is a prime.

It is a super-2 number, since 2×2224211400410312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222421140040986 and 222421140041004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222421140041021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224185101 + ... + 225175046.

It is an arithmetic number, because the mean of its divisors is an integer number (13708480248320).

Almost surely, 2222421140041031 is an apocalyptic number.

222421140041031 is a deficient number, since it is larger than the sum of its proper divisors (106582385918649).

222421140041031 is a wasteful number, since it uses less digits than its factorization.

222421140041031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449361475 (or 449361472 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 222421140041031 its reverse (130140041124222), we get a palindrome (352561181165253).

The spelling of 222421140041031 in words is "two hundred twenty-two trillion, four hundred twenty-one billion, one hundred forty million, forty-one thousand, thirty-one".

Divisors: 1 3 9 43 129 387 1279 3837 11511 54997 164991 494973 449360147 1348080441 4044241323 19322486321 57967458963 173902376889 574731628013 1724194884039 5172584652117 24713460004559 74140380013677 222421140041031