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22022032221 = 3672616501
BaseRepresentation
bin10100100000100111…
…011000101101011101
32002211202100011000000
4110200213120231131
5330100120012341
614041120324513
71406504120400
oct244047305535
962752304000
1022022032221
119380954832
124327173739
1320cc5973c7
1410cca77d37
1588d5318b6
hex5209d8b5d

22022032221 has 42 divisors (see below), whose sum is σ = 38408691102. Its totient is φ = 12583998000.

The previous prime is 22022032141. The next prime is 22022032261. The reversal of 22022032221 is 12223022022.

22022032221 is a `hidden beast` number, since 220 + 220 + 3 + 2 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21454925625 + 567106596 = 146475^2 + 23814^2 .

It is not a de Polignac number, because 22022032221 - 210 = 22022031197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22022032194 and 22022032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022032261) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 272530 + ... + 343971.

Almost surely, 222022032221 is an apocalyptic number.

22022032221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22022032221 is a deficient number, since it is larger than the sum of its proper divisors (16386658881).

22022032221 is an frugal number, since it uses more digits than its factorization.

22022032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616533 (or 616511 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22022032221 its reverse (12223022022), we get a palindrome (34245054243).

The spelling of 22022032221 in words is "twenty-two billion, twenty-two million, thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3969 5103 11907 35721 616501 1849503 4315507 5548509 12946521 16645527 30208549 38839563 49936581 90625647 116518689 149809743 271876941 349556067 449429229 815630823 1048668201 2446892469 3146004603 7340677407 22022032221