Search a number
-
+
22310312010 = 2357243335051
BaseRepresentation
bin10100110001110011…
…000101100001001010
32010120211210021112020
4110301303011201022
5331142414441020
614125455225310
71416604344300
oct246163054112
963524707466
1022310312010
119509653698
1243a7818236
13214722066c
14111907a270
158a89c7c40
hex531cc584a

22310312010 has 96 divisors (see below), whose sum is σ = 62432379072. Its totient is φ = 5087577600.

The previous prime is 22310312009. The next prime is 22310312029. The reversal of 22310312010 is 1021301322.

It is a super-3 number, since 3×223103120103 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618985 + ... + 654035.

It is an arithmetic number, because the mean of its divisors is an integer number (650337282).

Almost surely, 222310312010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22310312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31216189536).

22310312010 is an abundant number, since it is smaller than the sum of its proper divisors (40122067062).

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

22310312010 is a wasteful number, since it uses less digits than its factorization.

22310312010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35508 (or 35501 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22310312010 its reverse (1021301322), we get a palindrome (23331613332).

The spelling of 22310312010 in words is "twenty-two billion, three hundred ten million, three hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 433 490 735 866 1299 1470 2165 2598 3031 4330 6062 6495 9093 12990 15155 18186 21217 30310 35051 42434 45465 63651 70102 90930 105153 106085 127302 175255 210306 212170 245357 318255 350510 490714 525765 636510 736071 1051530 1226785 1472142 1717499 2453570 3434998 3680355 5152497 7360710 8587495 10304994 15177083 17174990 25762485 30354166 45531249 51524970 75885415 91062498 106239581 151770830 212479162 227656245 318718743 455312490 531197905 637437486 743677067 1062395810 1487354134 1593593715 2231031201 3187187430 3718385335 4462062402 7436770670 11155156005 22310312010