Search a number
-
+
133233210 = 232511592281
BaseRepresentation
bin1111111000011…
…11101000111010
3100021200221121100
413330033220322
5233101430320
621115352230
73205315005
oct774175072
9307627540
10133233210
11692300a0
1238752676
13217ab326
14139a253c
15ba6b790
hex7f0fa3a

133233210 has 96 divisors (see below), whose sum is σ = 384471360. Its totient is φ = 31737600.

The previous prime is 133233209. The next prime is 133233223. The reversal of 133233210 is 12332331.

133233210 is a `hidden beast` number, since 1 + 332 + 332 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57270 + ... + 59550.

It is an arithmetic number, because the mean of its divisors is an integer number (4004910).

Almost surely, 2133233210 is an apocalyptic number.

133233210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133233210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192235680).

133233210 is an abundant number, since it is smaller than the sum of its proper divisors (251238150).

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

133233210 is a wasteful number, since it uses less digits than its factorization.

133233210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133233210 is about 11542.6691020751. The cubic root of 133233210 is about 510.7450471494.

Adding to 133233210 its reverse (12332331), we get a palindrome (145565541).

The spelling of 133233210 in words is "one hundred thirty-three million, two hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 59 66 90 99 110 118 165 177 198 295 330 354 495 531 590 649 885 990 1062 1298 1770 1947 2281 2655 3245 3894 4562 5310 5841 6490 6843 9735 11405 11682 13686 19470 20529 22810 25091 29205 34215 41058 50182 58410 68430 75273 102645 125455 134579 150546 205290 225819 250910 269158 376365 403737 451638 672895 752730 807474 1129095 1211211 1345790 1480369 2018685 2258190 2422422 2960738 4037370 4441107 6056055 7401845 8882214 12112110 13323321 14803690 22205535 26646642 44411070 66616605 133233210