Search a number
-
+
182282236188 = 2231337262112049
BaseRepresentation
bin1010100111000011011…
…1100011000100011100
3122102111120012000201220
42221300313203010130
510441303223024223
6215423404533340
716112060304633
oct2516067430434
9572446160656
10182282236188
117033a62aa98
122b3b1b51250
131425c70a070
148b72d6251a
154b1cc6b6e3
hex2a70de311c

182282236188 has 96 divisors (see below), whose sum is σ = 470640609600. Its totient is φ = 54545633280.

The previous prime is 182282236141. The next prime is 182282236219. The reversal of 182282236188 is 881632282281.

It is a happy number.

182282236188 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 182282236188.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15122388 + ... + 15134436.

It is an arithmetic number, because the mean of its divisors is an integer number (4902506350).

Almost surely, 2182282236188 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 182282236188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235320304800).

182282236188 is an abundant number, since it is smaller than the sum of its proper divisors (288358373412).

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

182282236188 is a wasteful number, since it uses less digits than its factorization.

182282236188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14727 (or 14725 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 51.

The spelling of 182282236188 in words is "one hundred eighty-two billion, two hundred eighty-two million, two hundred thirty-six thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2621 2886 5242 5772 7863 10484 12049 15726 24098 31452 34073 36147 48196 68146 72294 96977 102219 136292 144588 156637 193954 204438 290931 313274 387908 408876 445813 469911 581862 626548 891626 939822 1163724 1260701 1337439 1783252 1879644 2521402 2674878 3782103 5042804 5349756 5795569 7564206 11591138 15128412 17386707 23182276 31580429 34773414 63160858 69546828 94741287 126321716 189482574 378965148 410545577 821091154 1168475873 1231636731 1642182308 2336951746 2463273462 3505427619 4673903492 4926546924 7010855238 14021710476 15190186349 30380372698 45570559047 60760745396 91141118094 182282236188