Search a number
-
+
182219968 = 2673710993
BaseRepresentation
bin10101101110001…
…11010011000000
3110200212201210201
422313013103000
5333122014333
630025334544
74341562360
oct1267072300
9420781721
10182219968
1193949617
1251037454
132b9a0488
141a2b49a0
1510ee617d
hexadc74c0

182219968 has 56 divisors (see below), whose sum is σ = 424456352. Its totient is φ = 75976704.

The previous prime is 182219959. The next prime is 182219977. The reversal of 182219968 is 869912281.

182219968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (182219959) and next prime (182219977).

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11080 + ... + 22072.

Almost surely, 2182219968 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 182219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212228176).

182219968 is an abundant number, since it is smaller than the sum of its proper divisors (242236384).

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

182219968 is a wasteful number, since it uses less digits than its factorization.

182219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11049 (or 11039 counting only the distinct ones).

The product of its digits is 124416, while the sum is 46.

The square root of 182219968 is about 13498.8876578776. The cubic root of 182219968 is about 566.9333283971.

The spelling of 182219968 in words is "one hundred eighty-two million, two hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 1036 1184 2072 2368 4144 8288 10993 16576 21986 43972 76951 87944 153902 175888 307804 351776 406741 615608 703552 813482 1231216 1626964 2462432 2847187 3253928 4924864 5694374 6507856 11388748 13015712 22777496 26031424 45554992 91109984 182219968