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13022232 = 2332331761
BaseRepresentation
bin110001101011…
…010000011000
3220111121010220
4301223100120
511313202412
61143040040
7215454456
oct61532030
926447126
1013022232
117394883
124440020
13290c382
141a2d9d6
15122368c
hexc6b418

13022232 has 64 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 4012800.

The previous prime is 13022231. The next prime is 13022257. The reversal of 13022232 is 23222031.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16732 + ... + 17492.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 213022232 is an apocalyptic number.

13022232 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 13022232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

13022232 is an abundant number, since it is smaller than the sum of its proper divisors (22090728).

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

13022232 is a wasteful number, since it uses less digits than its factorization.

13022232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13022232 is about 3608.6329821693. The cubic root of 13022232 is about 235.2674305713.

Adding to 13022232 its reverse (23222031), we get a palindrome (36244263).

The spelling of 13022232 in words is "thirteen million, twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 761 1426 1522 2139 2283 2852 3044 4278 4566 5704 6088 8556 9132 17112 17503 18264 23591 35006 47182 52509 70012 70773 94364 105018 140024 141546 188728 210036 283092 420072 542593 566184 1085186 1627779 2170372 3255558 4340744 6511116 13022232