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23222320 = 2451122399
BaseRepresentation
bin101100010010…
…1100000110000
31121200211000221
41120211200300
521421103240
62145422424
7401246362
oct130454060
947624027
1023222320
1112121300
12793aa14
134a71024
143126d32
15208aa4a
hex1625830

23222320 has 60 divisors (see below), whose sum is σ = 59371200. Its totient is φ = 8440960.

The previous prime is 23222299. The next prime is 23222363. The reversal of 23222320 is 2322232.

It is a super-2 number, since 2×232223202 = 1078552292364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23222294 and 23222303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8481 + ... + 10879.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 223222320 is an apocalyptic number.

23222320 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 23222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29685600).

23222320 is an abundant number, since it is smaller than the sum of its proper divisors (36148880).

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

23222320 is a wasteful number, since it uses less digits than its factorization.

23222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 23222320 is about 4818.9542434018. The cubic root of 23222320 is about 285.3000635698.

Adding to 23222320 its reverse (2322232), we get a palindrome (25544552).

The spelling of 23222320 in words is "twenty-three million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2399 2420 4798 4840 9596 9680 11995 19192 23990 26389 38384 47980 52778 95960 105556 131945 191920 211112 263890 290279 422224 527780 580558 1055560 1161116 1451395 2111120 2322232 2902790 4644464 5805580 11611160 23222320