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22022212002 = 2372415334471
BaseRepresentation
bin10100100000101000…
…000100100110100010
32002211202200021121120
4110200220010212202
5330100141241002
614041124233110
71406505466500
oct244050044642
962752607546
1022022212002
119380a6790a
12432723b796
1320cc62b19b
1410ccac3670
1588d569cbc
hex520a049a2

22022212002 has 96 divisors (see below), whose sum is σ = 53476827264. Its totient is φ = 6022598400.

The previous prime is 22022211989. The next prime is 22022212013. The reversal of 22022212002 is 20021222022.

It is a super-2 number, since 2×220222120022 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621627 + ... + 656097.

It is an arithmetic number, because the mean of its divisors is an integer number (557050284).

Almost surely, 222022212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26738413632).

22022212002 is an abundant number, since it is smaller than the sum of its proper divisors (31454615262).

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

22022212002 is a wasteful number, since it uses less digits than its factorization.

22022212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34584 (or 34577 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22022212002 its reverse (20021222022), we get a palindrome (42043434024).

The spelling of 22022212002 in words is "twenty-two billion, twenty-two million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 7 14 21 41 42 49 53 82 98 106 123 147 159 246 287 294 318 371 574 742 861 1113 1722 2009 2173 2226 2597 4018 4346 5194 6027 6519 7791 12054 13038 15211 15582 30422 34471 45633 68942 91266 103413 106477 206826 212954 241297 319431 482594 638862 723891 1413311 1447782 1689079 1826963 2826622 3378158 3653926 4239933 5067237 5480889 8479866 9893177 10134474 10961778 12788741 19786354 25577482 29679531 38366223 59359062 69252239 74905483 76732446 89521187 138504478 149810966 179042374 207756717 224716449 268563561 415513434 449432898 524338381 537127122 1048676762 1573015143 3146030286 3670368667 7340737334 11011106001 22022212002