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13213332 = 22321161547
BaseRepresentation
bin110010011001…
…111010010100
3220212022021200
4302121322110
511340311312
61151112500
7220211556
oct62317224
926768250
1013213332
117505410
124512730
132978352
141a7d4d6
1512600dc
hexc99e94

13213332 has 72 divisors (see below), whose sum is σ = 37101792. Its totient is φ = 3931200.

The previous prime is 13213331. The next prime is 13213363. The reversal of 13213332 is 23331231.

13213332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213331) 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, 23883 + ... + 24429.

Almost surely, 213213332 is an apocalyptic number.

13213332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550896).

13213332 is an abundant number, since it is smaller than the sum of its proper divisors (23888460).

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

13213332 is a wasteful number, since it uses less digits than its factorization.

13213332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 624 counting only the distinct ones).

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

The square root of 13213332 is about 3635.0147179895. The cubic root of 13213332 is about 236.4126888153.

Adding to 13213332 its reverse (23331231), we get a palindrome (36544563).

The spelling of 13213332 in words is "thirteen million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 547 549 671 732 1094 1098 1342 1641 2013 2188 2196 2684 3282 4026 4923 6017 6039 6564 8052 9846 12034 12078 18051 19692 24068 24156 33367 36102 54153 66734 72204 100101 108306 133468 200202 216612 300303 367037 400404 600606 734074 1101111 1201212 1468148 2202222 3303333 4404444 6606666 13213332