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22241320 = 2354367193
BaseRepresentation
bin101010011011…
…0000000101000
31112211222100121
41110312000220
521143210240
62112413024
7360022333
oct124660050
945758317
1022241320
1111611262
127547174
1347b965a
142d4d61a
151e4504a
hex1536028

22241320 has 64 divisors (see below), whose sum is σ = 52240320. Its totient is φ = 8515584.

The previous prime is 22241309. The next prime is 22241327. The reversal of 22241320 is 2314222.

It is a junction number, because it is equal to n+sod(n) for n = 22241294 and 22241303.

It is not an unprimeable number, because it can be changed into a prime (22241327) 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, 115144 + ... + 115336.

It is an arithmetic number, because the mean of its divisors is an integer number (816255).

Almost surely, 222241320 is an apocalyptic number.

22241320 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 22241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26120160).

22241320 is an abundant number, since it is smaller than the sum of its proper divisors (29999000).

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

22241320 is a wasteful number, since it uses less digits than its factorization.

22241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22241320 is about 4716.0703981175. The cubic root of 22241320 is about 281.2247371547.

Adding to 22241320 its reverse (2314222), we get a palindrome (24555542).

The spelling of 22241320 in words is "twenty-two million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 67 86 134 172 193 215 268 335 344 386 430 536 670 772 860 965 1340 1544 1720 1930 2680 2881 3860 5762 7720 8299 11524 12931 14405 16598 23048 25862 28810 33196 41495 51724 57620 64655 66392 82990 103448 115240 129310 165980 258620 331960 517240 556033 1112066 2224132 2780165 4448264 5560330 11120660 22241320