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22885940 = 22572112193
BaseRepresentation
bin101011101001…
…1011000110100
31121001201121102
41113103120310
521324322230
62134305232
7365345600
oct127233064
947051542
1022885940
1111a11600
1277b8218
134983b9c
14307a500
152021045
hex15d3634

22885940 has 108 divisors (see below), whose sum is σ = 61769988. Its totient is φ = 7096320.

The previous prime is 22885939. The next prime is 22885949. The reversal of 22885940 is 4958822.

It can be written as a sum of positive squares in 2 ways, for example, as 6853924 + 16032016 = 2618^2 + 4004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22885894 and 22885903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22885949) 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 35 ways as a sum of consecutive naturals, for example, 118484 + ... + 118676.

Almost surely, 222885940 is an apocalyptic number.

22885940 is a gapful number since it is divisible by the number (20) 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 22885940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30884994).

22885940 is an abundant number, since it is smaller than the sum of its proper divisors (38884048).

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

22885940 is a wasteful number, since it uses less digits than its factorization.

22885940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 22885940 is about 4783.9251666388. The cubic root of 22885940 is about 283.9158151590.

It can be divided in two parts, 2288 and 5940, that added together give a palindrome (8228).

The spelling of 22885940 in words is "twenty-two million, eight hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 121 140 154 193 196 220 242 245 308 385 386 484 490 539 605 770 772 847 965 980 1078 1210 1351 1540 1694 1930 2123 2156 2420 2695 2702 3388 3860 4235 4246 5390 5404 5929 6755 8470 8492 9457 10615 10780 11858 13510 14861 16940 18914 21230 23353 23716 27020 29645 29722 37828 42460 46706 47285 59290 59444 74305 93412 94570 104027 116765 118580 148610 163471 189140 208054 233530 297220 326942 416108 467060 520135 653884 817355 1040270 1144297 1634710 2080540 2288594 3269420 4577188 5721485 11442970 22885940