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22568868 = 2235731107
BaseRepresentation
bin101011000010…
…1111110100100
31120110121200000
41112011332210
521234200433
62123421300
7362555310
oct126057644
946417600
1022568868
1111815363
127684830
1348a277a
142dd6b40
151eac113
hex1585fa4

22568868 has 144 divisors (see below), whose sum is σ = 70447104. Its totient is φ = 6181920.

The previous prime is 22568863. The next prime is 22568869. The reversal of 22568868 is 86886522.

22568868 is a `hidden beast` number, since 2 + 2 + 568 + 86 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22568863) 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 47 ways as a sum of consecutive naturals, for example, 210871 + ... + 210977.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 222568868 is an apocalyptic number.

22568868 is a gapful number since it is divisible by the number (28) 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 22568868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552).

22568868 is an abundant number, since it is smaller than the sum of its proper divisors (47878236).

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

22568868 is a wasteful number, since it uses less digits than its factorization.

22568868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 22568868 is about 4750.6702684990. The cubic root of 22568868 is about 282.5985476010.

It can be divided in two parts, 22568 and 868, that added together give a triangular number (23436 = T216).

The spelling of 22568868 in words is "twenty-two million, five hundred sixty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 107 108 124 126 162 186 189 214 217 243 252 279 321 324 372 378 428 434 486 558 567 642 651 749 756 837 868 963 972 1116 1134 1284 1302 1498 1674 1701 1926 1953 2247 2268 2511 2604 2889 2996 3317 3348 3402 3852 3906 4494 5022 5778 5859 6634 6741 6804 7533 7812 8667 8988 9951 10044 11556 11718 13268 13482 15066 17334 17577 19902 20223 23219 23436 26001 26964 29853 30132 34668 35154 39804 40446 46438 52002 52731 59706 60669 69657 70308 80892 89559 92876 104004 105462 119412 121338 139314 179118 182007 208971 210924 242676 268677 278628 358236 364014 417942 537354 626913 728028 806031 835884 1074708 1253826 1612062 1880739 2507652 3224124 3761478 5642217 7522956 11284434 22568868