Search a number
-
+
22540511431 is a prime number
BaseRepresentation
bin10100111111100001…
…001110100011000111
32011011212221121202201
4110333201032203013
5332130332331211
614204401215331
71425401120524
oct247741164307
964155847681
1022540511431
119617592949
124450931547
132182b1c639
14113b88014b
158bdcea0c1
hex53f84e8c7

22540511431 has 2 divisors, whose sum is σ = 22540511432. Its totient is φ = 22540511430.

The previous prime is 22540511423. The next prime is 22540511437. The reversal of 22540511431 is 13411504522.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 22540511431 - 23 = 22540511423 is a prime.

It is a super-2 number, since 2×225405114312 (a number of 22 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 22540511431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22540511437) 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, 11270255715 + 11270255716.

It is an arithmetic number, because the mean of its divisors is an integer number (11270255716).

Almost surely, 222540511431 is an apocalyptic number.

22540511431 is a deficient number, since it is larger than the sum of its proper divisors (1).

22540511431 is an equidigital number, since it uses as much as digits as its factorization.

22540511431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 22540511431 in words is "twenty-two billion, five hundred forty million, five hundred eleven thousand, four hundred thirty-one".