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322113220 = 225111341267
BaseRepresentation
bin10011001100110…
…000111011000100
3211110010001021021
4103030300323010
51124430110340
651544000524
710660626412
oct2314607304
9743101237
10322113220
11155908480
128ba60144
1351971050
1430acc2b2
151d42ae4a
hex13330ec4

322113220 has 144 divisors (see below), whose sum is σ = 826709184. Its totient is φ = 103910400.

The previous prime is 322113217. The next prime is 322113221. The reversal of 322113220 is 22311223.

It is a junction number, because it is equal to n+sod(n) for n = 322113194 and 322113203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322113221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4807627 + ... + 4807693.

It is an arithmetic number, because the mean of its divisors is an integer number (5741036).

Almost surely, 2322113220 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 322113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413354592).

322113220 is an abundant number, since it is smaller than the sum of its proper divisors (504595964).

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

322113220 is a wasteful number, since it uses less digits than its factorization.

322113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 322113220 is about 17947.5129196220. The cubic root of 322113220 is about 685.4927245087.

Adding to 322113220 its reverse (22311223), we get a palindrome (344424443).

The spelling of 322113220 in words is "three hundred twenty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 41 44 52 55 65 67 82 110 130 134 143 164 205 220 260 268 286 335 410 451 533 572 670 715 737 820 871 902 1066 1340 1430 1474 1681 1742 1804 2132 2255 2665 2747 2860 2948 3362 3484 3685 4355 4510 5330 5494 5863 6724 7370 8405 8710 9020 9581 10660 10988 11726 13735 14740 16810 17420 18491 19162 21853 23452 27470 29315 30217 33620 35711 36982 38324 43706 47905 54940 58630 60434 71422 73964 87412 92455 95810 109265 112627 117260 120868 142844 151085 178555 184910 191620 218530 225254 240383 302170 357110 369820 392821 437060 450508 480766 563135 604340 714220 785642 961532 1126270 1201915 1238897 1464151 1571284 1964105 2252540 2403830 2477794 2928302 3928210 4807660 4955588 5856604 6194485 7320755 7856420 12388970 14641510 16105661 24777940 29283020 32211322 64422644 80528305 161056610 322113220