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22663040 = 275172083
BaseRepresentation
bin101011001110…
…0111110000000
31120122101211212
41112130332000
521300204130
62125425252
7363430001
oct126347600
946571755
1022663040
111187a094
12770b228
1349065aa
14301d1a8
151ec9e95
hex159cf80

22663040 has 64 divisors (see below), whose sum is σ = 57393360. Its totient is φ = 8527872.

The previous prime is 22663033. The next prime is 22663051. The reversal of 22663040 is 4036622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×226630402 = 1027226764083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22662997 and 22663015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9839 + ... + 11921.

Almost surely, 222663040 is an apocalyptic number.

22663040 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 22663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28696680).

22663040 is an abundant number, since it is smaller than the sum of its proper divisors (34730320).

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

22663040 is a wasteful number, since it uses less digits than its factorization.

22663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 22663040 is about 4760.5713942761. The cubic root of 22663040 is about 282.9910638257.

Adding to 22663040 its reverse (4036622), we get a palindrome (26699662).

The spelling of 22663040 in words is "twenty-two million, six hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2083 2176 2720 4166 5440 8332 10415 10880 16664 20830 33328 35411 41660 66656 70822 83320 133312 141644 166640 177055 266624 283288 333280 354110 566576 666560 708220 1133152 1333120 1416440 2266304 2832880 4532608 5665760 11331520 22663040