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22202122221 = 333126525833
BaseRepresentation
bin10100101011010110…
…010111111111101101
32010022022012200001000
4110223112113333231
5330432220402341
614111032310513
71414121632206
oct245326277755
963268180030
1022202122221
119463579044
124377542439
13212a9a0236
1411089565ad
1589e2568b6
hex52b597fed

22202122221 has 16 divisors (see below), whose sum is σ = 33953067520. Its totient is φ = 14323949280.

The previous prime is 22202122181. The next prime is 22202122259. The reversal of 22202122221 is 12222120222.

It is not a de Polignac number, because 22202122221 - 210 = 22202121197 is a prime.

It is a super-2 number, since 2×222021222212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22202122194 and 22202122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202127221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13262080 + ... + 13263753.

It is an arithmetic number, because the mean of its divisors is an integer number (2122066720).

Almost surely, 222202122221 is an apocalyptic number.

It is an amenable number.

22202122221 is a deficient number, since it is larger than the sum of its proper divisors (11750945299).

22202122221 is a wasteful number, since it uses less digits than its factorization.

22202122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26525873 (or 26525867 counting only the distinct ones).

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

Adding to 22202122221 its reverse (12222120222), we get a palindrome (34424242443).

The spelling of 22202122221 in words is "twenty-two billion, two hundred two million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 31 93 279 837 26525833 79577499 238732497 716197491 822300823 2466902469 7400707407 22202122221