Search a number
-
+
2013222330 = 233572198009
BaseRepresentation
bin111011111111111…
…0101010110111010
312012022020021212000
41313333311112322
513110341103310
6531434201430
7100614051600
oct16777652672
95168207760
102013222330
11943458809
12482283276
13261126822
1415153b870
15bbb254c0
hex77ff55ba

2013222330 has 192 divisors, whose sum is σ = 6574608000. Its totient is φ = 435891456.

The previous prime is 2013222329. The next prime is 2013222347. The reversal of 2013222330 is 332223102.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 247366 + ... + 255374.

It is an arithmetic number, because the mean of its divisors is an integer number (34242750).

Almost surely, 22013222330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287304000).

2013222330 is an abundant number, since it is smaller than the sum of its proper divisors (4561385670).

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

2013222330 is a wasteful number, since it uses less digits than its factorization.

2013222330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8058 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2013222330 is about 44868.9461654717. The cubic root of 2013222330 is about 1262.6914689184.

Adding to 2013222330 its reverse (332223102), we get a palindrome (2345445432).

The spelling of 2013222330 in words is "two billion, thirteen million, two hundred twenty-two thousand, three hundred thirty".