Search a number
-
+
22241140153537 is a prime number
BaseRepresentation
bin1010000111010011010110…
…10000100001110011000001
32220202020021022001101020111
411003221223100201303001
510403344323334403122
6115145234433311321
74453604121015364
oct503515320416301
986666238041214
1022241140153537
1170a5461878308
1225b2594a05541
13c5443b1b8b96
1456c69698c0db
15288822e37d77
hex143a6b421cc1

22241140153537 has 2 divisors, whose sum is σ = 22241140153538. Its totient is φ = 22241140153536.

The previous prime is 22241140153459. The next prime is 22241140153613. The reversal of 22241140153537 is 73535104114222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20935785918096 + 1305354235441 = 4575564^2 + 1142521^2 .

It is a cyclic number.

It is not a de Polignac number, because 22241140153537 - 27 = 22241140153409 is a prime.

It is a super-2 number, since 2×222411401535372 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22241140153537.

It is not a weakly prime, because it can be changed into another prime (22241140253537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11120570076768 + 11120570076769.

It is an arithmetic number, because the mean of its divisors is an integer number (11120570076769).

Almost surely, 222241140153537 is an apocalyptic number.

It is an amenable number.

22241140153537 is a deficient number, since it is larger than the sum of its proper divisors (1).

22241140153537 is an equidigital number, since it uses as much as digits as its factorization.

22241140153537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 201600, while the sum is 40.

Adding to 22241140153537 its reverse (73535104114222), we get a palindrome (95776244267759).

The spelling of 22241140153537 in words is "twenty-two trillion, two hundred forty-one billion, one hundred forty million, one hundred fifty-three thousand, five hundred thirty-seven".