Search a number
-
+
222002023320 = 233457113132843
BaseRepresentation
bin1100111011000001011…
…0100000101110011000
3210020000200222021110000
43032300112200232120
512114130004221240
6245553013453000
722016263030410
oct3166026405630
9706020867400
10222002023320
1186172399a50
1237038041160
1317c1c6cc09c
14aa6022b640
155b94d52430
hex33b05a0b98

222002023320 has 640 divisors, whose sum is σ = 933594647040. Its totient is φ = 45966735360.

The previous prime is 222002023319. The next prime is 222002023357. The reversal of 222002023320 is 23320200222.

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

It is a junction number, because it is equal to n+sod(n) for n = 222002023293 and 222002023302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 78085819 + ... + 78088661.

It is an arithmetic number, because the mean of its divisors is an integer number (1458741636).

Almost surely, 2222002023320 is an apocalyptic number.

222002023320 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 222002023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466797323520).

222002023320 is an abundant number, since it is smaller than the sum of its proper divisors (711592623720).

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

222002023320 is a wasteful number, since it uses less digits than its factorization.

222002023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 222002023320 its reverse (23320200222), we get a palindrome (245322223542).

The spelling of 222002023320 in words is "two hundred twenty-two billion, two million, twenty-three thousand, three hundred twenty".