Search a number
-
+
12233223216 = 243284952939
BaseRepresentation
bin10110110010010100…
…00010110000110000
31011120112222010110100
423121022002300300
5200023201120331
65341520232400
7612102452544
oct133112026060
934515863410
1012233223216
115208376735
122454a6b700
1311cc581c26
148409aba24
154b8e8dae6
hex2d9282c30

12233223216 has 30 divisors (see below), whose sum is σ = 34236034820. Its totient is φ = 4077741024.

The previous prime is 12233223179. The next prime is 12233223217. The reversal of 12233223216 is 61232233221.

12233223216 is a `hidden beast` number, since 1 + 2 + 2 + 332 + 2 + 321 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12233223216.

It is not an unprimeable number, because it can be changed into a prime (12233223217) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 42476326 + ... + 42476613.

Almost surely, 212233223216 is an apocalyptic number.

12233223216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12233223216 is an abundant number, since it is smaller than the sum of its proper divisors (22002811604).

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

12233223216 is a wasteful number, since it uses less digits than its factorization.

12233223216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84952953 (or 84952944 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 12233223216 its reverse (61232233221), we get a palindrome (73465456437).

The spelling of 12233223216 in words is "twelve billion, two hundred thirty-three million, two hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 84952939 169905878 254858817 339811756 509717634 679623512 764576451 1019435268 1359247024 1529152902 2038870536 3058305804 4077741072 6116611608 12233223216