Search a number
-
+
22031320 = 23517179181
BaseRepresentation
bin101010000001…
…0101111011000
31112110022021211
41110002233120
521120000240
62104112504
7355156153
oct124025730
945408254
1022031320
1111488503
127465734
134744bac
142cd6c9a
151e02bea
hex1502bd8

22031320 has 64 divisors (see below), whose sum is σ = 53071200. Its totient is φ = 8202240.

The previous prime is 22031311. The next prime is 22031333. The reversal of 22031320 is 2313022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22031320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121630 + ... + 121810.

Almost surely, 222031320 is an apocalyptic number.

22031320 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 22031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535600).

22031320 is an abundant number, since it is smaller than the sum of its proper divisors (31039880).

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

22031320 is a wasteful number, since it uses less digits than its factorization.

22031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 22031320 is about 4693.7532956047. The cubic root of 22031320 is about 280.3368395181.

Adding to 22031320 its reverse (2313022), we get a palindrome (24344342).

The spelling of 22031320 in words is "twenty-two million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 179 181 340 358 362 680 716 724 895 905 1432 1448 1790 1810 3043 3077 3580 3620 6086 6154 7160 7240 12172 12308 15215 15385 24344 24616 30430 30770 32399 60860 61540 64798 121720 123080 129596 161995 259192 323990 550783 647980 1101566 1295960 2203132 2753915 4406264 5507830 11015660 22031320