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220210012022 = 272111389176557
BaseRepresentation
bin1100110100010110001…
…0100001111101110110
3210001101210222200002012
43031011202201331312
512101442230341042
6245055120444222
721624003134600
oct3150542417566
9701353880065
10220210012022
11854328a1380
1236817a79672
13179c5378280
14a930234170
155adc875e82
hex33458a1f76

220210012022 has 96 divisors (see below), whose sum is σ = 456494240160. Its totient is φ = 78306117120.

The previous prime is 220210012021. The next prime is 220210012067.

220210012022 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 220210011988 and 220210012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220210012021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158968 + ... + 1335524.

It is an arithmetic number, because the mean of its divisors is an integer number (4755148335).

Almost surely, 2220210012022 is an apocalyptic number.

220210012022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220210012022 is an abundant number, since it is smaller than the sum of its proper divisors (236284228138).

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

220210012022 is a wasteful number, since it uses less digits than its factorization.

220210012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176686 (or 176679 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

It can be divided in two parts, 2202100 and 12022, that added together give a palindrome (2214122).

The spelling of 220210012022 in words is "two hundred twenty billion, two hundred ten million, twelve thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 89 91 98 143 154 178 182 286 539 623 637 979 1001 1078 1157 1246 1274 1958 2002 2314 4361 6853 7007 8099 8722 12727 13706 14014 16198 25454 47971 56693 89089 95942 113386 176557 178178 353114 623623 1235899 1247246 1942127 2295241 2471798 3884254 4590482 8651293 13594889 15713573 16066687 17302586 25247651 27189778 31427146 32133374 50495302 95164223 109995011 112466809 172849303 176733557 190328446 204276449 219990022 224933618 345698606 353467114 408552898 769965077 1209945121 1237134899 1429935143 1539930154 2247040939 2419890242 2474269798 2859870286 4494081878 8469615847 10009546001 15729286573 16939231694 20019092002 31458573146 110105006011 220210012022