Search a number
-
+
22742824722 = 234192450507
BaseRepresentation
bin10101001011100100…
…111111011100010010
32011200222122012102120
4111023210333130102
5333034130342342
614240425355110
71433405551302
oct251344773422
964628565376
1022742824722
119710805912
1244a8638a96
1321b5a06847
14115a6a5602
158d195eaec
hex54b93f712

22742824722 has 16 divisors (see below), whose sum is σ = 46595056032. Its totient is φ = 7396040480.

The previous prime is 22742824691. The next prime is 22742824739.

22742824722 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×227428247222 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 46225008 + ... + 46225499.

It is an arithmetic number, because the mean of its divisors is an integer number (2912191002).

Almost surely, 222742824722 is an apocalyptic number.

22742824722 is an abundant number, since it is smaller than the sum of its proper divisors (23852231310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22742824722 is a wasteful number, since it uses less digits than its factorization.

22742824722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92450553.

The product of its digits is 401408, while the sum is 42.

The spelling of 22742824722 in words is "twenty-two billion, seven hundred forty-two million, eight hundred twenty-four thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 41 82 123 246 92450507 184901014 277351521 554703042 3790470787 7580941574 11371412361 22742824722