Search a number
-
+
22015206240 = 2535233975023
BaseRepresentation
bin10100100000001101…
…010110001101100000
32002211021111100111220
4110200031112031200
5330041343044430
614040314135040
71406362110516
oct244015261540
962737440456
1022015206240
119378012325
124324a21480
1320cb047471
1410cbbbc4b6
1588cb34110
hex520356360

22015206240 has 192 divisors, whose sum is σ = 72559742976. Its totient is φ = 5600212992.

The previous prime is 22015206173. The next prime is 22015206259. The reversal of 22015206240 is 4260251022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22015206240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4380369 + ... + 4385391.

It is an arithmetic number, because the mean of its divisors is an integer number (377915328).

Almost surely, 222015206240 is an apocalyptic number.

22015206240 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 22015206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36279871488).

22015206240 is an abundant number, since it is smaller than the sum of its proper divisors (50544536736).

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

22015206240 is a wasteful number, since it uses less digits than its factorization.

22015206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 22015206240 its reverse (4260251022), we get a palindrome (26275457262).

The spelling of 22015206240 in words is "twenty-two billion, fifteen million, two hundred six thousand, two hundred forty".