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22830168 = 2332359701
BaseRepresentation
bin101011100010…
…1110001011000
31120221220002210
41113011301120
521321031133
62133155120
7365024154
oct127056130
946856083
1022830168
1111983709
12778baa0
13496469a
143064064
15200e763
hex15c5c58

22830168 has 64 divisors (see below), whose sum is σ = 60652800. Its totient is φ = 7145600.

The previous prime is 22830151. The next prime is 22830169. The reversal of 22830168 is 86103822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22830169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32218 + ... + 32918.

It is an arithmetic number, because the mean of its divisors is an integer number (947700).

Almost surely, 222830168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22830168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326400).

22830168 is an abundant number, since it is smaller than the sum of its proper divisors (37822632).

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

22830168 is a wasteful number, since it uses less digits than its factorization.

22830168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 22830168 is about 4778.0925064297. The cubic root of 22830168 is about 283.6849975627.

The spelling of 22830168 in words is "twenty-two million, eight hundred thirty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 59 69 92 118 138 177 184 236 276 354 472 552 701 708 1357 1402 1416 2103 2714 2804 4071 4206 5428 5608 8142 8412 10856 16123 16284 16824 32246 32568 41359 48369 64492 82718 96738 124077 128984 165436 193476 248154 330872 386952 496308 951257 992616 1902514 2853771 3805028 5707542 7610056 11415084 22830168