Search a number
-
+
2222313012 = 2232736471307
BaseRepresentation
bin1000010001110101…
…1100111000110100
312201212200012100100
42010131130320310
514022403004022
61004303514100
7106033230453
oct20435347064
95655605310
102222313012
11a4048a727
125202b8930
1329554481a
14171208b9a
15d01781ac
hex8475ce34

2222313012 has 72 divisors (see below), whose sum is σ = 5707630656. Its totient is φ = 728936064.

The previous prime is 2222312987. The next prime is 2222313019. The reversal of 2222313012 is 2103132222.

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 (2222313019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699663 + ... + 1700969.

It is an arithmetic number, because the mean of its divisors is an integer number (79272648).

Almost surely, 22222313012 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 2222313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853815328).

2222313012 is an abundant number, since it is smaller than the sum of its proper divisors (3485317644).

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

2222313012 is a wasteful number, since it uses less digits than its factorization.

2222313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2222313012 is about 47141.4150402807. The cubic root of 2222313012 is about 1304.9736516458.

Adding to 2222313012 its reverse (2103132222), we get a palindrome (4325445234).

The spelling of 2222313012 in words is "two billion, two hundred twenty-two million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 647 657 876 1294 1307 1314 1941 2588 2614 2628 3882 3921 5228 5823 7764 7842 11646 11763 15684 23292 23526 47052 47231 94462 95411 141693 188924 190822 283386 286233 381644 425079 566772 572466 845629 850158 858699 1144932 1691258 1700316 1717398 2536887 3382516 3434796 5073774 7610661 10147548 15221322 30442644 61730917 123461834 185192751 246923668 370385502 555578253 740771004 1111156506 2222313012