Search a number
-
+
22216023360 = 2633589167173
BaseRepresentation
bin10100101100001011…
…011001110101000000
32010100021100220211000
4110230023121311000
5330444300221420
614112250252000
71414351040256
oct245413316500
963307326730
1022216023360
119470403193
124380127000
13213082966b
14110a7345d6
158a05a0690
hex52c2d9d40

22216023360 has 448 divisors, whose sum is σ = 80189222400. Its totient is φ = 5788975104.

The previous prime is 22216023289. The next prime is 22216023367. The reversal of 22216023360 is 6332061222.

22216023360 is a `hidden beast` number, since 2 + 2 + 21 + 602 + 3 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22216023367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128416234 + ... + 128416406.

It is an arithmetic number, because the mean of its divisors is an integer number (178993800).

Almost surely, 222216023360 is an apocalyptic number.

22216023360 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 22216023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40094611200).

22216023360 is an abundant number, since it is smaller than the sum of its proper divisors (57973199040).

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

22216023360 is a wasteful number, since it uses less digits than its factorization.

22216023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22216023360 its reverse (6332061222), we get a palindrome (28548084582).

The spelling of 22216023360 in words is "twenty-two billion, two hundred sixteen million, twenty-three thousand, three hundred sixty".