Search a number
-
+
12226774158 = 2322975131189
BaseRepresentation
bin10110110001100010…
…11100010010001110
31011120002211111000100
423120301130102032
5200020023233113
65341130111530
7611663602614
oct133061342216
934502744010
1012226774158
115204771435
12245287b5a6
1311cb134711
1483dbad6b4
154b8617d73
hex2d8c5c48e

12226774158 has 48 divisors (see below), whose sum is σ = 27442209600. Its totient is φ = 3929688000.

The previous prime is 12226774141. The next prime is 12226774159. The reversal of 12226774158 is 85147762221.

12226774158 is a `hidden beast` number, since 1 + 2 + 226 + 7 + 7 + 415 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12226774159) 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, 376428 + ... + 407616.

It is an arithmetic number, because the mean of its divisors is an integer number (571712700).

Almost surely, 212226774158 is an apocalyptic number.

12226774158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12226774158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721104800).

12226774158 is an abundant number, since it is smaller than the sum of its proper divisors (15215435442).

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

12226774158 is a wasteful number, since it uses less digits than its factorization.

12226774158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31977 (or 31974 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 12226774158 in words is "twelve billion, two hundred twenty-six million, seven hundred seventy-four thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 751 1502 2253 4506 6759 13518 21779 31189 43558 62378 65337 93567 130674 187134 196011 280701 392022 561402 904481 1808962 2713443 5426886 8140329 16280658 23422939 46845878 70268817 140537634 210806451 421612902 679265231 1358530462 2037795693 4075591386 6113387079 12226774158