Search a number
-
+
22148001829 = 172944924953
BaseRepresentation
bin10100101000000111…
…111011000000100101
32010011112101001211001
4110220013323000211
5330324342024304
614101420313301
71412563623622
oct245007730045
963145331731
1022148001829
119435a73648
1243613a2831
13211c701535
1411016a9349
15899615da4
hex5281fb025

22148001829 has 8 divisors (see below), whose sum is σ = 24259475160. Its totient is φ = 20126378496.

The previous prime is 22148001809. The next prime is 22148001853. The reversal of 22148001829 is 92810084122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9060184225 + 13087817604 = 95185^2 + 114402^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22148001829 - 215 = 22147969061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22148001809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22461984 + ... + 22462969.

It is an arithmetic number, because the mean of its divisors is an integer number (3032434395).

Almost surely, 222148001829 is an apocalyptic number.

22148001829 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

22148001829 is a deficient number, since it is larger than the sum of its proper divisors (2111473331).

22148001829 is a wasteful number, since it uses less digits than its factorization.

22148001829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44924999.

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 22148001829 in words is "twenty-two billion, one hundred forty-eight million, one thousand, eight hundred twenty-nine".

Divisors: 1 17 29 493 44924953 763724201 1302823637 22148001829