Search a number
-
+
22451085919 = 197917983561
BaseRepresentation
bin10100111010001100…
…000110001001011111
32010221122200100000201
4110322030012021133
5331434434222134
614151444404331
71423234036663
oct247214061137
963848610021
1022451085919
119581064169
1244269a66a7
13216a43c032
14112da428a3
158b6033914
hex53a30625f

22451085919 has 16 divisors (see below), whose sum is σ = 24065856000. Its totient is φ = 20882646720.

The previous prime is 22451085893. The next prime is 22451085941. The reversal of 22451085919 is 91958015422.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22451085919 - 27 = 22451085791 is a prime.

It is a super-2 number, since 2×224510859192 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22451085719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226899 + ... + 310459.

It is an arithmetic number, because the mean of its divisors is an integer number (1504116000).

Almost surely, 222451085919 is an apocalyptic number.

22451085919 is a deficient number, since it is larger than the sum of its proper divisors (1614770081).

22451085919 is a wasteful number, since it uses less digits than its factorization.

22451085919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83838.

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 22451085919 in words is "twenty-two billion, four hundred fifty-one million, eighty-five thousand, nine hundred nineteen".

Divisors: 1 19 79 179 1501 3401 14141 83561 268679 1587659 6601319 14957419 125425061 284190961 1181636101 22451085919