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22010320 = 245275129
BaseRepresentation
bin101001111110…
…1100111010000
31112102020111001
41103331213100
521113312240
62103431344
7355041013
oct123754720
945366431
1022010320
1111473752
127455554
134738477
142ccd37a
151deb89a
hex14fd9d0

22010320 has 20 divisors (see below), whose sum is σ = 51174180. Its totient is φ = 8804096.

The previous prime is 22010309. The next prime is 22010321. The reversal of 22010320 is 2301022.

It can be written as a sum of positive squares in 2 ways, for example, as 16192576 + 5817744 = 4024^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22010297 and 22010306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137485 + ... + 137644.

It is an arithmetic number, because the mean of its divisors is an integer number (2558709).

Almost surely, 222010320 is an apocalyptic number.

22010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010320 is an abundant number, since it is smaller than the sum of its proper divisors (29163860).

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

22010320 is a wasteful number, since it uses less digits than its factorization.

22010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275142 (or 275136 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 22010320 is about 4691.5157465365. The cubic root of 22010320 is about 280.2477399224.

Adding to 22010320 its reverse (2301022), we get a palindrome (24311342).

The spelling of 22010320 in words is "twenty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 275129 550258 1100516 1375645 2201032 2751290 4402064 5502580 11005160 22010320