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133224 = 23371361
BaseRepresentation
bin100000100001101000
320202202020
4200201220
513230344
62504440
71063260
oct404150
9222666
10133224
1191103
1265120
1348840
14367a0
1529719
hex20868

133224 has 64 divisors (see below), whose sum is σ = 416640. Its totient is φ = 34560.

The previous prime is 133213. The next prime is 133241. The reversal of 133224 is 422331.

Adding to 133224 its reverse (422331), we get a palindrome (555555).

It can be divided in two parts, 133 and 224, that multiplied together give a palindrome (29792).

It is a Cunningham number, because it is equal to 3652-1.

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

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2154 + ... + 2214.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2133224 is an apocalyptic number.

133224 is a gapful number since it is divisible by the number (14) 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 133224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

133224 is an abundant number, since it is smaller than the sum of its proper divisors (283416).

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

133224 is a wasteful number, since it uses less digits than its factorization.

133224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

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

The square root of 133224 is about 364.9986301344. The cubic root of 133224 is about 51.0733278136.

The spelling of 133224 in words is "one hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 61 78 84 91 104 122 156 168 182 183 244 273 312 364 366 427 488 546 728 732 793 854 1092 1281 1464 1586 1708 2184 2379 2562 3172 3416 4758 5124 5551 6344 9516 10248 11102 16653 19032 22204 33306 44408 66612 133224