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23222340 = 22325177589
BaseRepresentation
bin101100010010…
…1100001000100
31121200211001200
41120211201010
521421103330
62145422500
7401246421
oct130454104
947624050
1023222340
1112121319
12793aa30
134a7103b
143126d48
15208aa60
hex1625844

23222340 has 72 divisors (see below), whose sum is σ = 74594520. Its totient is φ = 5827584.

The previous prime is 23222299. The next prime is 23222363. The reversal of 23222340 is 4322232.

23222340 is a `hidden beast` number, since 2 + 322 + 2 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 412164 + 22810176 = 642^2 + 4776^2 .

It is a super-3 number, since 3×232223403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735 + ... + 6854.

It is an arithmetic number, because the mean of its divisors is an integer number (1036035).

Almost surely, 223222340 is an apocalyptic number.

23222340 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 23222340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37297260).

23222340 is an abundant number, since it is smaller than the sum of its proper divisors (51372180).

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

23222340 is a wasteful number, since it uses less digits than its factorization.

23222340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23222340 is about 4818.9563185404. The cubic root of 23222340 is about 285.3001454737.

Adding to 23222340 its reverse (4322232), we get a palindrome (27544572).

The spelling of 23222340 in words is "twenty-three million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 7589 15178 22767 30356 37945 45534 68301 75890 91068 113835 129013 136602 151780 227670 258026 273204 341505 387039 455340 516052 645065 683010 774078 1161117 1290130 1366020 1548156 1935195 2322234 2580260 3870390 4644468 5805585 7740780 11611170 23222340