Search a number
-
+
110022220080 = 2433589631907
BaseRepresentation
bin110011001110111010…
…1011101100100110000
3101111222122012212121000
41212131311131210300
53300311142020310
6122313222002000
710643311304013
oct1463565354460
9344878185530
10110022220080
1142729747413
12193a6276300
13a4b4ca9996
14547a12937a
152cde0364c0
hex199dd5d930

110022220080 has 320 divisors, whose sum is σ = 384253977600. Its totient is φ = 28931696640.

The previous prime is 110022220039. The next prime is 110022220081. The reversal of 110022220080 is 80022220011.

It is a happy number.

It is a super-2 number, since 2×1100222200802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110022220081) 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, 121302987 + ... + 121303893.

It is an arithmetic number, because the mean of its divisors is an integer number (1200793680).

Almost surely, 2110022220080 is an apocalyptic number.

110022220080 is a gapful number since it is divisible by the number (10) 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 110022220080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192126988800).

110022220080 is an abundant number, since it is smaller than the sum of its proper divisors (274231757520).

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

110022220080 is a wasteful number, since it uses less digits than its factorization.

110022220080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110022220080 its reverse (80022220011), we get a palindrome (190044440091).

The spelling of 110022220080 in words is "one hundred ten billion, twenty-two million, two hundred twenty thousand, eighty".