Search a number
-
+
220012222122 = 232711198354683
BaseRepresentation
bin1100110011100111000…
…0000001011010101010
3210000220000210220100100
43030321300001122222
512101041112101442
6245023333250230
721616052013630
oct3147160013252
9700800726310
10220012222122
1185341188950
1236781793976
13179933b5c24
14a911c69350
155aca30684c
hex3339c016aa

220012222122 has 96 divisors (see below), whose sum is σ = 625598737920. Its totient is φ = 54138339360.

The previous prime is 220012222093. The next prime is 220012222151. The reversal of 220012222122 is 221222210022.

It is an interprime number because it is at equal distance from previous prime (220012222093) and next prime (220012222151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220012222095 and 220012222104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4151008 + ... + 4203675.

It is an arithmetic number, because the mean of its divisors is an integer number (6516653520).

Almost surely, 2220012222122 is an apocalyptic number.

220012222122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220012222122 is an abundant number, since it is smaller than the sum of its proper divisors (405586515798).

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

220012222122 is a wasteful number, since it uses less digits than its factorization.

220012222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354728 (or 8354725 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220012222122 its reverse (221222210022), we get a palindrome (441234432144).

The spelling of 220012222122 in words is "two hundred twenty billion, twelve million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3762 4389 8778 13167 26334 8354683 16709366 25064049 50128098 58482781 75192147 91901513 116965562 150384294 158738977 175448343 183803026 275704539 317477954 350896686 476216931 526345029 551409078 643310591 827113617 952433862 1052690058 1111172839 1286621182 1428650793 1654227234 1746128747 1929931773 2222345678 2857301586 3333518517 3492257494 3859863546 5238386241 5789795319 6667037034 10000555551 10476772482 11579590638 12222901229 15715158723 20001111102 24445802458 31430317446 36668703687 73337407374 110006111061 220012222122