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222100000001000 = 235311101199909991
BaseRepresentation
bin110010011111111110101111…
…100110101100101111101000
31002010101112220212120210210222
4302133332233212230233220
5213102341300000013000
62104211155331425212
764532124021666062
oct6237765746545750
91063345825523728
10222100000001000
116484a098957aa0
1220ab0574755208
1396c0c2b616cb4
143cbb9a9792732
151aa24e613ca85
hexc9ffaf9acbe8

222100000001000 has 128 divisors (see below), whose sum is σ = 572574202686720. Its totient is φ = 79963996000000.

The previous prime is 222100000000993. The next prime is 222100000001017. The reversal of 222100000001000 is 100000001222.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98843996 + ... + 101065995.

It is an arithmetic number, because the mean of its divisors is an integer number (4473235958490).

Almost surely, 2222100000001000 is an apocalyptic number.

222100000001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222100000001000 is an abundant number, since it is smaller than the sum of its proper divisors (350474202685720).

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

222100000001000 is a wasteful number, since it uses less digits than its factorization.

222100000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199910124 (or 199910110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 222100000001000 its reverse (100000001222), we get a palindrome (222200000002222).

The spelling of 222100000001000 in words is "two hundred twenty-two trillion, one hundred billion, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 20200 22220 25250 27775 44440 50500 55550 101000 111100 138875 222200 277750 555500 1111000 199909991 399819982 799639964 999549955 1599279928 1999099910 2199009901 3998199820 4398019802 4997749775 7996399640 8796039604 9995499550 10995049505 17592079208 19990999100 20190909091 21990099010 24988748875 39981998200 40381818182 43980198020 49977497750 54975247525 80763636364 87960396040 99954995500 100954545455 109950495050 161527272728 199909991000 201909090910 219900990100 222100000001 274876237625 403818181820 439801980200 444200000002 504772727275 549752475250 807636363640 888400000004 1009545454550 1099504950500 1110500000005 1776800000008 2019090909100 2199009901000 2221000000010 2523863636375 4038181818200 4442000000020 5047727272750 5552500000025 8884000000040 10095454545500 11105000000050 20190909091000 22210000000100 27762500000125 44420000000200 55525000000250 111050000000500 222100000001000