Search a number
-
+
12225441006 = 23210310761627
BaseRepresentation
bin10110110001011000…
…10110110011101110
31011120000022202021100
423120230112303232
5200014203103011
65341041343530
7611646351102
oct133054266356
934500282240
1012225441006
115203a40859
122452337ba6
1311caa8897c
1483d943902
154b8452d56
hex2d8b16cee

12225441006 has 48 divisors (see below), whose sum is σ = 26996022144. Its totient is φ = 3997801872.

The previous prime is 12225440963. The next prime is 12225441017. The reversal of 12225441006 is 60014452221.

12225441006 is a `hidden beast` number, since 12 + 2 + 2 + 544 + 100 + 6 = 666.

It is a super-2 number, since 2×122254410062 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 167565 + ... + 229191.

It is an arithmetic number, because the mean of its divisors is an integer number (562417128).

Almost surely, 212225441006 is an apocalyptic number.

12225441006 is an abundant number, since it is smaller than the sum of its proper divisors (14770581138).

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

12225441006 is a wasteful number, since it uses less digits than its factorization.

12225441006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61845 (or 61842 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12225441006 its reverse (60014452221), we get a palindrome (72239893227).

The spelling of 12225441006 in words is "twelve billion, two hundred twenty-five million, four hundred forty-one thousand, six".

Divisors: 1 2 3 6 9 18 103 107 206 214 309 321 618 642 927 963 1854 1926 11021 22042 33063 61627 66126 99189 123254 184881 198378 369762 554643 1109286 6347581 6594089 12695162 13188178 19042743 19782267 38085486 39564534 57128229 59346801 114256458 118693602 679191167 1358382334 2037573501 4075147002 6112720503 12225441006