Search a number
-
+
22123131220 = 22517346918757
BaseRepresentation
bin10100100110101001…
…000011000101010100
32010002210120111202101
4110212221003011110
5330302010144340
614055131251444
71412142340561
oct244651030524
963083514671
1022123131220
119422a26a23
124354ba9b84
1321175041b8
1410dc273868
15897351c9a
hex526a43154

22123131220 has 48 divisors (see below), whose sum is σ = 49208236560. Its totient is φ = 8325863424.

The previous prime is 22123131211. The next prime is 22123131221. The reversal of 22123131220 is 2213132122.

It can be written as a sum of positive squares in 8 ways, for example, as 721781956 + 21401349264 = 26866^2 + 146292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123131221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1170082 + ... + 1188838.

It is an arithmetic number, because the mean of its divisors is an integer number (1025171595).

Almost surely, 222123131220 is an apocalyptic number.

22123131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22123131220 is an abundant number, since it is smaller than the sum of its proper divisors (27085105340).

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

22123131220 is a wasteful number, since it uses less digits than its factorization.

22123131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22252 (or 22250 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 22123131220 its reverse (2213132122), we get a palindrome (24336263342).

The spelling of 22123131220 in words is "twenty-two billion, one hundred twenty-three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3469 6938 13876 17345 18757 34690 37514 58973 69380 75028 93785 117946 187570 235892 294865 318869 375140 589730 637738 1179460 1275476 1594345 3188690 6377380 65068033 130136066 260272132 325340165 650680330 1106156561 1301360660 2212313122 4424626244 5530782805 11061565610 22123131220