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222122210000010 = 235116335933177173
BaseRepresentation
bin110010100000010011011011…
…011011000111110010001010
31002010110200020201121122202220
4302200103123123013302022
5213103222241230000020
62104225311245034510
764533541300605555
oct6240233333076212
91063420221548686
10222122210000010
1164858555915a81
1220ab4932855a36
1396c305ab14548
143cbcab539969c
151aa2d95ded240
hexca04db6c7c8a

222122210000010 has 64 divisors (see below), whose sum is σ = 533569541804928. Its totient is φ = 59179677449984.

The previous prime is 222122209999999. The next prime is 222122210000017. The reversal of 222122210000010 is 10000012221222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (222122210000017) 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 31 ways as a sum of consecutive naturals, for example, 1253613784 + ... + 1253790956.

It is an arithmetic number, because the mean of its divisors is an integer number (8337024090702).

Almost surely, 2222122210000010 is an apocalyptic number.

222122210000010 is an abundant number, since it is smaller than the sum of its proper divisors (311447331804918).

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

222122210000010 is a wasteful number, since it uses less digits than its factorization.

222122210000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214279.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 222122210000010 its reverse (10000012221222), we get a palindrome (232122222221232).

The spelling of 222122210000010 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, two hundred ten million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 1163 2326 3489 5815 6978 11630 17445 34890 35933 71866 107799 177173 179665 215598 354346 359330 531519 538995 885865 1063038 1077990 1771730 2657595 5315190 41790079 83580158 125370237 206052199 208950395 250740474 412104398 417900790 618156597 626851185 1030260995 1236313194 1253702370 2060521990 3090782985 6181565970 6366357409 12732714818 19099072227 31831787045 38198144454 63663574090 95495361135 190990722270 7404073666667 14808147333334 22212221000001 37020368333335 44424442000002 74040736666670 111061105000005 222122210000010