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33133230 = 23251328319
BaseRepresentation
bin111111001100…
…1001010101110
32022100100020200
41332121022232
531440230410
63142054330
7551425224
oct176311256
968310220
1033133230
1117780539
12b11a3a6
136b31180
144586b14
152d973c0
hex1f992ae

33133230 has 48 divisors (see below), whose sum is σ = 92776320. Its totient is φ = 8155584.

The previous prime is 33133193. The next prime is 33133231. The reversal of 33133230 is 3233133.

33133230 is a `hidden beast` number, since 331 + 332 + 3 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33133231) 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, 12990 + ... + 15329.

It is an arithmetic number, because the mean of its divisors is an integer number (1932840).

Almost surely, 233133230 is an apocalyptic number.

33133230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33133230 is an abundant number, since it is smaller than the sum of its proper divisors (59643090).

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

33133230 is a wasteful number, since it uses less digits than its factorization.

33133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28345 (or 28342 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 33133230 is about 5756.1471489183. The cubic root of 33133230 is about 321.1845097566.

Adding to 33133230 its reverse (3233133), we get a palindrome (36366363).

The spelling of 33133230 in words is "thirty-three million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 28319 56638 84957 141595 169914 254871 283190 368147 424785 509742 736294 849570 1104441 1274355 1840735 2208882 2548710 3313323 3681470 5522205 6626646 11044410 16566615 33133230