Search a number
-
+
22300204014 = 23311122330697
BaseRepresentation
bin10100110001001100…
…100001101111101110
32010120010202201222000
4110301030201233232
5331132323012024
614124454433130
71416422415024
oct246114415756
963503681860
1022300204014
11950397a380
1243a43627a6
1321450c18ba
1411179a8714
158a7b7ccc9
hex531321bee

22300204014 has 64 divisors (see below), whose sum is σ = 54107066880. Its totient is φ = 6751892160.

The previous prime is 22300204013. The next prime is 22300204033. The reversal of 22300204014 is 41040200322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300204013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711114 + ... + 741810.

It is an arithmetic number, because the mean of its divisors is an integer number (845422920).

Almost surely, 222300204014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22300204014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27053533440).

22300204014 is an abundant number, since it is smaller than the sum of its proper divisors (31806862866).

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

22300204014 is a wasteful number, since it uses less digits than its factorization.

22300204014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31942 (or 31936 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22300204014 its reverse (41040200322), we get a palindrome (63340404336).

The spelling of 22300204014 in words is "twenty-two billion, three hundred million, two hundred four thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1223 2446 3669 7338 11007 13453 22014 26906 30697 33021 40359 61394 66042 80718 92091 121077 184182 242154 276273 337667 363231 552546 675334 726462 828819 1013001 1657638 2026002 3039003 6078006 9117009 18234018 37542431 75084862 112627293 225254586 337881879 412966741 675763758 825933482 1013645637 1238900223 2027291274 2477800446 3716700669 7433401338 11150102007 22300204014