Search a number
-
+
22313322332 = 2272971938219
BaseRepresentation
bin10100110001111110…
…100100011101011100
32010121001110012220122
4110301332210131130
5331144202303312
614130043534112
71416642052610
oct246176443534
963531405818
1022313322332
11951031a364
1243a882a338
132147a35912
141119621340
158a8dbeb72
hex531fa475c

22313322332 has 48 divisors (see below), whose sum is σ = 46230912000. Its totient is φ = 9220016064.

The previous prime is 22313322331. The next prime is 22313322349. The reversal of 22313322332 is 23322331322.

It is a super-3 number, since 3×223133223323 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313322331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 564719 + ... + 602937.

It is an arithmetic number, because the mean of its divisors is an integer number (963144000).

Almost surely, 222313322332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22313322332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456000).

22313322332 is an abundant number, since it is smaller than the sum of its proper divisors (23917589668).

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

22313322332 is a wasteful number, since it uses less digits than its factorization.

22313322332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38978 (or 38976 counting only the distinct ones).

The product of its digits is 7776, while the sum is 26.

Adding to 22313322332 its reverse (23322331322), we get a palindrome (45635653654).

The spelling of 22313322332 in words is "twenty-two billion, three hundred thirteen million, three hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 719 812 1438 2876 5033 10066 20132 20851 38219 41702 76438 83404 145957 152876 267533 291914 535066 583828 1070132 1108351 2216702 4433404 7758457 15516914 27479461 31033828 54958922 109917844 192356227 384712454 769424908 796904369 1593808738 3187617476 5578330583 11156661166 22313322332