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13322322 = 23213172197
BaseRepresentation
bin110010110100…
…100001010010
3221001211210100
4302310201102
511402303242
61153313230
7221144406
oct62644122
927054710
1013322322
11757a292
124565816
1329b5b40
141aab106
15128254c
hexcb4852

13322322 has 72 divisors (see below), whose sum is σ = 33189156. Its totient is φ = 3838464.

The previous prime is 13322311. The next prime is 13322341. The reversal of 13322322 is 22322331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11634921 + 1687401 = 3411^2 + 1299^2 .

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 junction number, because it is equal to n+sod(n) for n = 13322295 and 13322304.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67528 + ... + 67724.

Almost surely, 213322322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13322322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594578).

13322322 is an abundant number, since it is smaller than the sum of its proper divisors (19866834).

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

13322322 is a wasteful number, since it uses less digits than its factorization.

13322322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

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

The square root of 13322322 is about 3649.9756163569. The cubic root of 13322322 is about 237.0609254251.

Adding to 13322322 its reverse (22322331), we get a palindrome (35644653).

Subtracting 13322322 from its reverse (22322331), we obtain a palindrome (9000009).

The spelling of 13322322 in words is "thirteen million, three hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 197 221 234 289 306 394 442 578 591 663 867 1182 1326 1734 1773 1989 2561 2601 3349 3546 3757 3978 5122 5202 6698 7514 7683 10047 11271 15366 20094 22542 23049 30141 33813 43537 46098 56933 60282 67626 87074 113866 130611 170799 261222 341598 391833 512397 740129 783666 1024794 1480258 2220387 4440774 6661161 13322322