Search a number
-
+
22320332202233 = 133389506623969
BaseRepresentation
bin1010001001100110110110…
…11110001110000011111001
32221000210200022212021102002
411010303123132032003321
510411144020020432413
6115245452525550345
74462406432226002
oct504633336160371
987023608767362
1022320332202233
117125aaa70263a
1226059b61153b5
13c5ba4bb158b0
1457244a2cc1a9
1528a90a50d958
hex144cdb78e0f9

22320332202233 has 8 divisors (see below), whose sum is σ = 24044373616200. Its totient is φ = 20597304043008.

The previous prime is 22320332202199. The next prime is 22320332202239. The reversal of 22320332202233 is 33220223302322.

It can be written as a sum of positive squares in 4 ways, for example, as 9002562182329 + 13317770019904 = 3000427^2 + 3649352^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22320332202233 - 28 = 22320332201977 is a prime.

It is a super-3 number, since 3×223203322022333 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22320332202196 and 22320332202205.

It is not an unprimeable number, because it can be changed into a prime (22320332202239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253267928 + ... + 253356041.

It is an arithmetic number, because the mean of its divisors is an integer number (3005546702025).

Almost surely, 222320332202233 is an apocalyptic number.

It is an amenable number.

22320332202233 is a deficient number, since it is larger than the sum of its proper divisors (1724041413967).

22320332202233 is a wasteful number, since it uses less digits than its factorization.

22320332202233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506627371.

The product of its (nonzero) digits is 31104, while the sum is 29.

Adding to 22320332202233 its reverse (33220223302322), we get a palindrome (55540555504555).

The spelling of 22320332202233 in words is "twenty-two trillion, three hundred twenty billion, three hundred thirty-two million, two hundred two thousand, two hundred thirty-three".

Divisors: 1 13 3389 44057 506623969 6586111597 1716948630941 22320332202233