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22966104 = 2337259331
BaseRepresentation
bin101011110011…
…0111101011000
31121012210120110
41113212331120
521334403404
62140124320
7366131400
oct127467530
947183513
1022966104
1111a66857
1278366a0
1349b1515
14309b800
152039b89
hex15e6f58

22966104 has 96 divisors (see below), whose sum is σ = 68126400. Its totient is φ = 6431040.

The previous prime is 22966103. The next prime is 22966123. The reversal of 22966104 is 40166922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22966103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69219 + ... + 69549.

It is an arithmetic number, because the mean of its divisors is an integer number (709650).

Almost surely, 222966104 is an apocalyptic number.

22966104 is a gapful number since it is divisible by the number (24) 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 22966104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34063200).

22966104 is an abundant number, since it is smaller than the sum of its proper divisors (45160296).

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

22966104 is a wasteful number, since it uses less digits than its factorization.

22966104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 22966104 is about 4792.2963180505. The cubic root of 22966104 is about 284.2469253649.

The spelling of 22966104 in words is "twenty-two million, nine hundred sixty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 59 84 98 118 147 168 177 196 236 294 331 354 392 413 472 588 662 708 826 993 1176 1239 1324 1416 1652 1986 2317 2478 2648 2891 3304 3972 4634 4956 5782 6951 7944 8673 9268 9912 11564 13902 16219 17346 18536 19529 23128 27804 32438 34692 39058 48657 55608 58587 64876 69384 78116 97314 117174 129752 136703 156232 194628 234348 273406 389256 410109 468696 546812 820218 956921 1093624 1640436 1913842 2870763 3280872 3827684 5741526 7655368 11483052 22966104