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22853040 = 2435761223
BaseRepresentation
bin101011100101…
…1010110110000
31121000001110220
41113023112300
521322244130
62133453040
7365150640
oct127132660
947001426
1022853040
1111999911
1277a1180
134971c12
14306c520
152016410
hex15cb5b0

22853040 has 160 divisors (see below), whose sum is σ = 82661376. Its totient is φ = 5114880.

The previous prime is 22853027. The next prime is 22853093. The reversal of 22853040 is 4035822.

22853040 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×228530402 = 1044522874483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 22853040.

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 31 ways as a sum of consecutive naturals, for example, 102369 + ... + 102591.

Almost surely, 222853040 is an apocalyptic number.

22853040 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 22853040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41330688).

22853040 is an abundant number, since it is smaller than the sum of its proper divisors (59808336).

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

22853040 is a wasteful number, since it uses less digits than its factorization.

22853040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 22853040 is about 4780.4853310098. The cubic root of 22853040 is about 283.7797008765.

Adding to 22853040 its reverse (4035822), we get a palindrome (26888862).

The spelling of 22853040 in words is "twenty-two million, eight hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 61 70 80 84 105 112 120 122 140 168 183 210 223 240 244 280 305 336 366 420 427 446 488 560 610 669 732 840 854 892 915 976 1115 1220 1281 1338 1464 1561 1680 1708 1784 1830 2135 2230 2440 2562 2676 2928 3122 3345 3416 3568 3660 4270 4460 4683 4880 5124 5352 6244 6405 6690 6832 7320 7805 8540 8920 9366 10248 10704 12488 12810 13380 13603 14640 15610 17080 17840 18732 20496 23415 24976 25620 26760 27206 31220 34160 37464 40809 46830 51240 53520 54412 62440 68015 74928 81618 93660 95221 102480 108824 124880 136030 163236 187320 190442 204045 217648 272060 285663 326472 374640 380884 408090 476105 544120 571326 652944 761768 816180 952210 1088240 1142652 1428315 1523536 1632360 1904420 2285304 2856630 3264720 3808840 4570608 5713260 7617680 11426520 22853040