Search a number
-
+
2112202221220 = 2257213165792953
BaseRepresentation
bin11110101111001001000…
…100000010011010100100
321110220222000010020221001
4132233021010002122210
5234101242232034340
64254155440003044
7305413224435400
oct36571104023244
97426860106831
102112202221220
117448640a8333
122a1438300484
1312424508c950
147433432c100
1539e235d029a
hex1ebc91026a4

2112202221220 has 72 divisors (see below), whose sum is σ = 5556716646264. Its totient is φ = 668477182464.

The previous prime is 2112202221197. The next prime is 2112202221251. The reversal of 2112202221220 is 221222022112.

It can be written as a sum of positive squares in 4 ways, for example, as 138379536036 + 1973822685184 = 371994^2 + 1404928^2 .

It is a super-2 number, since 2×21122022212202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82883737 + ... + 82909216.

It is an arithmetic number, because the mean of its divisors is an integer number (77176620087).

Almost surely, 22112202221220 is an apocalyptic number.

2112202221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112202221220 is an abundant number, since it is smaller than the sum of its proper divisors (3444514425044).

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

2112202221220 is a wasteful number, since it uses less digits than its factorization.

2112202221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165792989 (or 165792980 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2112202221220 its reverse (221222022112), we get a palindrome (2333424243332).

The spelling of 2112202221220 in words is "two trillion, one hundred twelve billion, two hundred two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 165792953 331585906 663171812 828964765 1160550671 1657929530 2155308389 2321101342 3315859060 4310616778 4642202684 5802753355 8123854697 8621233556 10776541945 11605506710 15087158723 16247709394 21553083890 23211013420 30174317446 32495418788 40619273485 43106167780 60348634892 75435793615 81238546970 105610111061 150871587230 162477093940 211220222122 301743174460 422440444244 528050555305 1056101110610 2112202221220