Search a number
-
+
22212022220257 is a prime number
BaseRepresentation
bin1010000110011101000111…
…01100011011010111100001
32220122110010000112002221011
411003032203230123113201
510402410210142022012
6115124021231100521
74451523421454542
oct503164354332741
986573100462834
1022212022220257
11709407a528041
1225a8a09371741
13c5177a7ab96c
1456b0d37524c9
15287bbb9971a7
hex1433a3b1b5e1

22212022220257 has 2 divisors, whose sum is σ = 22212022220258. Its totient is φ = 22212022220256.

The previous prime is 22212022220183. The next prime is 22212022220281. The reversal of 22212022220257 is 75202222021222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19951221289041 + 2260800931216 = 4466679^2 + 1503596^2 .

It is a cyclic number.

It is not a de Polignac number, because 22212022220257 - 223 = 22212013831649 is a prime.

It is a super-2 number, since 2×222120222202572 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22212022220357) 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 as a sum of consecutive naturals, namely, 11106011110128 + 11106011110129.

It is an arithmetic number, because the mean of its divisors is an integer number (11106011110129).

Almost surely, 222212022220257 is an apocalyptic number.

It is an amenable number.

22212022220257 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212022220257 is an equidigital number, since it uses as much as digits as its factorization.

22212022220257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17920, while the sum is 31.

Adding to 22212022220257 its reverse (75202222021222), we get a palindrome (97414244241479).

The spelling of 22212022220257 in words is "twenty-two trillion, two hundred twelve billion, twenty-two million, two hundred twenty thousand, two hundred fifty-seven".