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322113132 = 22331121572
BaseRepresentation
bin10011001100110…
…000111001101100
3211110010001011000
4103030300321230
51124430110012
651544000300
710660626225
oct2314607154
9743101130
10322113132
11155908400
128ba60090
1351970cb3
1430acc24c
151d42addc
hex13330e6c

322113132 has 108 divisors (see below), whose sum is σ = 923812680. Its totient is φ = 96988320.

The previous prime is 322113119. The next prime is 322113133. The reversal of 322113132 is 231311223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

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 not an unprimeable number, because it can be changed into a prime (322113133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2051598 + ... + 2051754.

Almost surely, 2322113132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461906340).

322113132 is an abundant number, since it is smaller than the sum of its proper divisors (601699548).

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

322113132 is a wasteful number, since it uses less digits than its factorization.

322113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 173 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 322113132 is about 17947.5104680287. The cubic root of 322113132 is about 685.4926620841.

Adding to 322113132 its reverse (231311223), we get a palindrome (553424355).

The spelling of 322113132 in words is "three hundred twenty-two million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 157 198 242 297 314 363 396 471 484 594 628 726 942 1089 1188 1413 1452 1727 1884 2178 2826 3267 3454 4239 4356 5181 5652 6534 6908 8478 10362 13068 15543 16956 18997 20724 24649 31086 37994 46629 49298 56991 62172 73947 75988 93258 98596 113982 147894 170973 186516 221841 227964 271139 295788 341946 443682 512919 542278 665523 683892 813417 887364 1025838 1084556 1331046 1626834 2051676 2440251 2662092 2982529 3253668 4880502 5965058 7320753 8947587 9761004 11930116 14641506 17895174 26842761 29283012 35790348 53685522 80528283 107371044 161056566 322113132