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22869540 = 2234519743
BaseRepresentation
bin101011100111…
…1011000100100
31121000220010000
41113033120210
521323311130
62134101300
7365250021
oct127173044
947026100
1022869540
1111a00251
1277aa830
134979595
143074548
15201b260
hex15cf624

22869540 has 120 divisors (see below), whose sum is σ = 75620160. Its totient is φ = 5769792.

The previous prime is 22869527. The next prime is 22869557. The reversal of 22869540 is 4596822.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22869495 and 22869504.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 30409 + ... + 31151.

It is an arithmetic number, because the mean of its divisors is an integer number (630168).

Almost surely, 222869540 is an apocalyptic number.

22869540 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 22869540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810080).

22869540 is an abundant number, since it is smaller than the sum of its proper divisors (52750620).

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

22869540 is a wasteful number, since it uses less digits than its factorization.

22869540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 22869540 is about 4782.2107858186. The cubic root of 22869540 is about 283.8479811960.

It can be divided in two parts, 22869 and 540, that added together give a square (23409 = 1532).

The spelling of 22869540 in words is "twenty-two million, eight hundred sixty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 743 810 855 1026 1140 1486 1539 1620 1710 2052 2229 2565 2972 3078 3420 3715 4458 5130 6156 6687 7430 7695 8916 10260 11145 13374 14117 14860 15390 20061 22290 26748 28234 30780 33435 40122 42351 44580 56468 60183 66870 70585 80244 84702 100305 120366 127053 133740 141170 169404 200610 211755 240732 254106 282340 300915 381159 401220 423510 508212 601830 635265 762318 847020 1143477 1203660 1270530 1524636 1905795 2286954 2541060 3811590 4573908 5717385 7623180 11434770 22869540