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13223034 = 23311113197
BaseRepresentation
bin110010011100…
…010001111010
3220212210121000
4302130101322
511341114114
61151225430
7220252056
oct62342172
926783530
1013223034
117511730
124518276
13297c8a6
141a82c66
151262e09
hexc9c47a

13223034 has 64 divisors (see below), whose sum is σ = 32503680. Its totient is φ = 3951360.

The previous prime is 13223029. The next prime is 13223039. The reversal of 13223034 is 43032231.

13223034 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13223029) and next prime (13223039).

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

It is a junction number, because it is equal to n+sod(n) for n = 13222998 and 13223016.

It is not an unprimeable number, because it can be changed into a prime (13223039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67024 + ... + 67220.

It is an arithmetic number, because the mean of its divisors is an integer number (507870).

Almost surely, 213223034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16251840).

13223034 is an abundant number, since it is smaller than the sum of its proper divisors (19280646).

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

13223034 is a wasteful number, since it uses less digits than its factorization.

13223034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

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

The square root of 13223034 is about 3636.3489931523. The cubic root of 13223034 is about 236.4705373265.

Adding to 13223034 its reverse (43032231), we get a palindrome (56255265).

It can be divided in two parts, 1322 and 3034, that added together give a square (4356 = 662).

The spelling of 13223034 in words is "thirteen million, two hundred twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 113 197 198 226 297 339 394 591 594 678 1017 1182 1243 1773 2034 2167 2486 3051 3546 3729 4334 5319 6102 6501 7458 10638 11187 13002 19503 22261 22374 33561 39006 44522 58509 66783 67122 117018 133566 200349 244871 400698 489742 601047 734613 1202094 1469226 2203839 4407678 6611517 13223034