Search a number
-
+
12221140224 = 283148910687
BaseRepresentation
bin10110110000110111…
…11100110100000000
31011112201020020201010
423120123330310000
5200012102441344
65340405240520
7611564656266
oct133033746400
934481206633
1012221140224
115201573597
122450a03140
1311c9c11227
1483d144436
154b7da38b9
hex2d86fcd00

12221140224 has 72 divisors (see below), whose sum is σ = 32550945280. Its totient is φ = 4070596608.

The previous prime is 12221140201. The next prime is 12221140273. The reversal of 12221140224 is 42204112221.

It is a self number, because there is not a number n which added to its sum of digits gives 12221140224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1138209 + ... + 1148895.

Almost surely, 212221140224 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 12221140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275472640).

12221140224 is an abundant number, since it is smaller than the sum of its proper divisors (20329805056).

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

12221140224 is a wasteful number, since it uses less digits than its factorization.

12221140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12195 (or 12181 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12221140224 its reverse (42204112221), we get a palindrome (54425252445).

The spelling of 12221140224 in words is "twelve billion, two hundred twenty-one million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1489 2978 4467 5956 8934 10687 11912 17868 21374 23824 32061 35736 42748 47648 64122 71472 85496 95296 128244 142944 170992 190592 256488 285888 341984 381184 512976 571776 683968 1025952 1143552 1367936 2051904 2735872 4103808 8207616 15912943 31825886 47738829 63651772 95477658 127303544 190955316 254607088 381910632 509214176 763821264 1018428352 1527642528 2036856704 3055285056 4073713408 6110570112 12221140224