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13022334 = 232131929101
BaseRepresentation
bin110001101011…
…010001111110
3220111121021200
4301223101332
511313203314
61143040330
7215454663
oct61532176
926447250
1013022334
117394966
1244400a6
13290c430
141a2da6a
151223709
hexc6b47e

13022334 has 96 divisors (see below), whose sum is σ = 33415200. Its totient is φ = 3628800.

The previous prime is 13022333. The next prime is 13022351. The reversal of 13022334 is 43322031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128884 + ... + 128984.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 213022334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

13022334 is an abundant number, since it is smaller than the sum of its proper divisors (20392866).

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

13022334 is a wasteful number, since it uses less digits than its factorization.

13022334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13022334 is about 3608.6471149172. The cubic root of 13022334 is about 235.2680448340.

Adding to 13022334 its reverse (43322031), we get a palindrome (56344365).

The spelling of 13022334 in words is "thirteen million, twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 29 38 39 57 58 78 87 101 114 117 171 174 202 234 247 261 303 342 377 494 522 551 606 741 754 909 1102 1131 1313 1482 1653 1818 1919 2223 2262 2626 2929 3306 3393 3838 3939 4446 4959 5757 5858 6786 7163 7878 8787 9918 11514 11817 14326 17271 17574 21489 23634 24947 26361 34542 38077 42978 49894 52722 55651 64467 74841 76154 111302 114231 128934 149682 166953 224523 228462 333906 342693 449046 500859 685386 723463 1001718 1446926 2170389 4340778 6511167 13022334