Search a number
-
+
22144454345 = 5131901179213
BaseRepresentation
bin10100100111111010…
…011000111011001001
32010011021200211120202
4110213322120323021
5330322440014340
614101212301545
71412521520246
oct244772307311
963137624522
1022144454345
119433a70342
1243601718b5
13211ba5b930
1411010245cd
15899164c15
hex527e98ec9

22144454345 has 16 divisors (see below), whose sum is σ = 28632662352. Its totient is φ = 16344134400.

The previous prime is 22144454309. The next prime is 22144454357. The reversal of 22144454345 is 54345444122.

It can be written as a sum of positive squares in 8 ways, for example, as 1676001721 + 20468452624 = 40939^2 + 143068^2 .

It is not a de Polignac number, because 22144454345 - 210 = 22144453321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22144454299 and 22144454308.

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 15 ways as a sum of consecutive naturals, for example, 33959 + ... + 213171.

It is an arithmetic number, because the mean of its divisors is an integer number (1789541397).

Almost surely, 222144454345 is an apocalyptic number.

It is an amenable number.

22144454345 is a deficient number, since it is larger than the sum of its proper divisors (6488208007).

22144454345 is a wasteful number, since it uses less digits than its factorization.

22144454345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181132.

The product of its digits is 307200, while the sum is 38.

Adding to 22144454345 its reverse (54345444122), we get a palindrome (76489898467).

The spelling of 22144454345 in words is "twenty-two billion, one hundred forty-four million, four hundred fifty-four thousand, three hundred forty-five".

Divisors: 1 5 13 65 1901 9505 24713 123565 179213 896065 2329769 11648845 340683913 1703419565 4428890869 22144454345