Search a number
-
+
22412130320 = 245299660401
BaseRepresentation
bin10100110111110111…
…011111100000010000
32010211221101011222202
4110313313133200100
5331400001132240
614143533422332
71422251651546
oct246767374020
963757334882
1022412130320
119561077258
12441593a9a8
13216234c998
1411287c1d96
158b28db315
hex537ddf810

22412130320 has 40 divisors (see below), whose sum is σ = 53905043160. Its totient is φ = 8655718400.

The previous prime is 22412130317. The next prime is 22412130331. The reversal of 22412130320 is 2303121422.

It can be written as a sum of positive squares in 4 ways, for example, as 17606416 + 22394523904 = 4196^2 + 149648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22412130292 and 22412130301.

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, 4827881 + ... + 4832520.

It is an arithmetic number, because the mean of its divisors is an integer number (1347626079).

Almost surely, 222412130320 is an apocalyptic number.

22412130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22412130320 is an abundant number, since it is smaller than the sum of its proper divisors (31492912840).

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

22412130320 is a wasteful number, since it uses less digits than its factorization.

22412130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9660443 (or 9660437 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22412130320 its reverse (2303121422), we get a palindrome (24715251742).

The spelling of 22412130320 in words is "twenty-two billion, four hundred twelve million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 9660401 19320802 38641604 48302005 77283208 96604010 154566416 193208020 280151629 386416040 560303258 772832080 1120606516 1400758145 2241213032 2801516290 4482426064 5603032580 11206065160 22412130320