Search a number
-
+
222113101940 = 225196178091171
BaseRepresentation
bin1100111011011011111…
…0001111100001110100
3210020022102222122122222
43032312332033201310
512114341423230230
6250012022341512
722022112133652
oct3166676174164
9706272878588
10222113101940
118621a067a64
123706928a898
1317c39721392
14aa70ca3dd2
155b9e9946e5
hex33b6f8f874

222113101940 has 96 divisors (see below), whose sum is σ = 492810998400. Its totient is φ = 83857213440.

The previous prime is 222113101939. The next prime is 222113102021. The reversal of 222113101940 is 49101311222.

It is a super-3 number, since 3×2221131019403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 189677555 + ... + 189678725.

It is an arithmetic number, because the mean of its divisors is an integer number (5133447900).

Almost surely, 2222113101940 is an apocalyptic number.

222113101940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222113101940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246405499200).

222113101940 is an abundant number, since it is smaller than the sum of its proper divisors (270697896460).

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

222113101940 is a wasteful number, since it uses less digits than its factorization.

222113101940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 222113101940 in words is "two hundred twenty-two billion, one hundred thirteen million, one hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 617 809 1171 1234 1618 2342 2468 3085 3236 4045 4684 5855 6170 8090 11710 11723 12340 15371 16180 22249 23420 23446 30742 44498 46892 58615 61484 76855 88996 111245 117230 153710 222490 234460 307420 444980 499153 722507 947339 998306 1445014 1894678 1996612 2495765 2890028 3612535 3789356 4736695 4991530 7225070 9473390 9483907 9983060 13727633 14450140 17999441 18946780 18967814 27455266 35998882 37935628 47419535 54910532 68638165 71997764 89997205 94839070 137276330 179994410 189678140 274552660 359988820 584508163 1169016326 2338032652 2922540815 5845081630 11105655097 11690163260 22211310194 44422620388 55528275485 111056550970 222113101940