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132222420 = 2232511431553
BaseRepresentation
bin1111110000110…
…00110111010100
3100012210121001200
413320120313110
5232322104140
621041552500
73163605051
oct770306724
9305717050
10132222420
11686aa730
1238345730
1321516225
14137bc028
15b91c030
hex7e18dd4

132222420 has 144 divisors (see below), whose sum is σ = 447999552. Its totient is φ = 31288320.

The previous prime is 132222407. The next prime is 132222427. The reversal of 132222420 is 24222231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132222393 and 132222402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132222427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84364 + ... + 85916.

It is an arithmetic number, because the mean of its divisors is an integer number (3111108).

Almost surely, 2132222420 is an apocalyptic number.

132222420 is a gapful number since it is divisible by the number (10) 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 132222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223999776).

132222420 is an abundant number, since it is smaller than the sum of its proper divisors (315777132).

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

132222420 is a wasteful number, since it uses less digits than its factorization.

132222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 132222420 is about 11498.8008070407. The cubic root of 132222420 is about 509.4501571263.

Adding to 132222420 its reverse (24222231), we get a palindrome (156444651).

The spelling of 132222420 in words is "one hundred thirty-two million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1548 1553 1892 1935 1980 2365 2580 2838 3106 3870 4257 4659 4730 5676 6212 7095 7740 7765 8514 9318 9460 13977 14190 15530 17028 17083 18636 21285 23295 27954 28380 31060 34166 42570 46590 51249 55908 66779 68332 69885 85140 85415 93180 102498 133558 139770 153747 170830 200337 204996 256245 267116 279540 307494 333895 341660 400674 512490 601011 614988 667790 734569 768735 801348 1001685 1024980 1202022 1335580 1469138 1537470 2003370 2203707 2404044 2938276 3005055 3074940 3672845 4006740 4407414 6010110 6611121 7345690 8814828 11018535 12020220 13222242 14691380 22037070 26444484 33055605 44074140 66111210 132222420