Search a number
-
+
22710490000 = 24541121372
BaseRepresentation
bin10101001001101001…
…101001001110010000
32011121201210102112021
4111021221221032100
5333002341140000
614233312341224
71432533660052
oct251151511620
964551712467
1022710490000
1196a4530300
124499844814
1321ac0c4c83
1411562898d2
158cdbc411a
hex549a69390

22710490000 has 225 divisors, whose sum is σ = 60881731141. Its totient is φ = 8198080000.

The previous prime is 22710489943. The next prime is 22710490001. The reversal of 22710490000 is 9401722.

The square root of 22710490000 is 150700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 15692071824 + 7018418176 = 125268^2 + 83776^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22710490001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 165769932 + ... + 165770068.

Almost surely, 222710490000 is an apocalyptic number.

22710490000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22710490000 is the 150700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22710490000

22710490000 is an abundant number, since it is smaller than the sum of its proper divisors (38171241141).

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

22710490000 is an equidigital number, since it uses as much as digits as its factorization.

22710490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Multiplying 22710490000 by its sum of digits (25), we get a square (567762250000 = 7535002).

22710490000 divided by its sum of digits (25) gives a square (908419600 = 301402).

Adding to 22710490000 its reverse (9401722), we get a palindrome (22719891722).

The spelling of 22710490000 in words is "twenty-two billion, seven hundred ten million, four hundred ninety thousand".