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22483656 = 23341317157
BaseRepresentation
bin101010111000…
…1001011001000
31120022021210000
41111301023020
521223434111
62121523000
7362052006
oct125611310
946267700
1022483656
1111767338
127643460
134872a50
142db3a76
151e91c56
hex15712c8

22483656 has 160 divisors (see below), whose sum is σ = 72266040. Its totient is φ = 6469632.

The previous prime is 22483633. The next prime is 22483663. The reversal of 22483656 is 65638422.

It can be written as a sum of positive squares in 4 ways, for example, as 16402500 + 6081156 = 4050^2 + 2466^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (69120) is a multiple of the sum of its prime divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 22483656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143130 + ... + 143286.

Almost surely, 222483656 is an apocalyptic number.

22483656 is a gapful number since it is divisible by the number (26) 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 22483656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36133020).

22483656 is an abundant number, since it is smaller than the sum of its proper divisors (49782384).

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

22483656 is a wasteful number, since it uses less digits than its factorization.

22483656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 22483656 is about 4741.6933684075. The cubic root of 22483656 is about 282.2424352490.

The spelling of 22483656 in words is "twenty-two million, four hundred eighty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 81 102 104 108 117 136 153 156 157 162 204 216 221 234 306 312 314 324 351 408 442 459 468 471 612 628 648 663 702 884 918 936 942 1053 1224 1256 1326 1377 1404 1413 1768 1836 1884 1989 2041 2106 2652 2669 2754 2808 2826 3672 3768 3978 4082 4212 4239 5304 5338 5508 5652 5967 6123 7956 8007 8164 8424 8478 10676 11016 11304 11934 12246 12717 15912 16014 16328 16956 17901 18369 21352 23868 24021 24492 25434 32028 33912 34697 35802 36738 47736 48042 48984 50868 55107 64056 69394 71604 72063 73476 96084 101736 104091 110214 138788 143208 144126 146952 165321 192168 208182 216189 220428 277576 288252 312273 330642 416364 432378 440856 576504 624546 661284 832728 864756 936819 1249092 1322568 1729512 1873638 2498184 2810457 3747276 5620914 7494552 11241828 22483656