Search a number
-
+
223322013420000 = 25354111960729339
BaseRepresentation
bin110010110001110000110101…
…010001111100100111100000
31002021201101011002102110200020
4302301300311101330213200
5213232401440413420000
62110544414444153440
765016324451450215
oct6261606521744740
91067641132373606
10223322013420000
1165180374645650
1221069376538880
13977c238771801
143d20bb3751b0c
151ac41b8707ba0
hexcb1c3547c9e0

223322013420000 has 960 divisors, whose sum is σ = 842609798553600. Its totient is φ = 51203024640000.

The previous prime is 223322013419987. The next prime is 223322013420007. The reversal of 223322013420000 is 24310223322.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223322013420007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7611765331 + ... + 7611794669.

It is an arithmetic number, because the mean of its divisors is an integer number (877718540160).

Almost surely, 2223322013420000 is an apocalyptic number.

223322013420000 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 223322013420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421304899276800).

223322013420000 is an abundant number, since it is smaller than the sum of its proper divisors (619287785133600).

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

223322013420000 is a wasteful number, since it uses less digits than its factorization.

223322013420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30009 (or 29986 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 223322013420000 its reverse (24310223322), we get a palindrome (223346323643322).

The spelling of 223322013420000 in words is "two hundred twenty-three trillion, three hundred twenty-two billion, thirteen million, four hundred twenty thousand".