Search a number
-
+
22124132320 = 255138275827
BaseRepresentation
bin10100100110101100…
…110111011111100000
32010002212110101000011
4110212230313133200
5330302234213240
614055204534304
71412154010333
oct244654673740
963085411004
1022124132320
119423550084
1243553b1394
132117794a74
1410dc45461a
1589749d6ea
hex526b377e0

22124132320 has 24 divisors (see below), whose sum is σ = 52268262984. Its totient is φ = 8849652864.

The previous prime is 22124132311. The next prime is 22124132353. The reversal of 22124132320 is 2323142122.

It is a junction number, because it is equal to n+sod(n) for n = 22124132291 and 22124132300.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 69137754 + ... + 69138073.

It is an arithmetic number, because the mean of its divisors is an integer number (2177844291).

Almost surely, 222124132320 is an apocalyptic number.

22124132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22124132320 is an abundant number, since it is smaller than the sum of its proper divisors (30144130664).

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

22124132320 is a wasteful number, since it uses less digits than its factorization.

22124132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138275842 (or 138275834 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22124132320 its reverse (2323142122), we get a palindrome (24447274442).

The spelling of 22124132320 in words is "twenty-two billion, one hundred twenty-four million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 138275827 276551654 553103308 691379135 1106206616 1382758270 2212413232 2765516540 4424826464 5531033080 11062066160 22124132320