Search a number
-
+
222232221120 = 26357138330649
BaseRepresentation
bin1100111011111000010…
…0101001010111000000
3210020121202010112110110
43032332010221113000
512120112422033440
6250031515431320
722025056466130
oct3167604512700
9706552115413
10222232221120
1186280327a68
12370a1155540
1317c582ca3c0
14aa82a30ac0
155baa174080
hex33be1295c0

222232221120 has 448 divisors, whose sum is σ = 878906649600. Its totient is φ = 46322122752.

The previous prime is 222232221103. The next prime is 222232221179. The reversal of 222232221120 is 21122232222.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7235556 + ... + 7266204.

It is an arithmetic number, because the mean of its divisors is an integer number (1961845200).

Almost surely, 2222232221120 is an apocalyptic number.

222232221120 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 222232221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439453324800).

222232221120 is an abundant number, since it is smaller than the sum of its proper divisors (656674428480).

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

222232221120 is a wasteful number, since it uses less digits than its factorization.

222232221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30772 (or 30762 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 222232221120 its reverse (21122232222), we get a palindrome (243354453342).

The spelling of 222232221120 in words is "two hundred twenty-two billion, two hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty".