Search a number
-
+
222113200320 = 263251115744657
BaseRepresentation
bin1100111011011011111…
…0100111100011000000
3210020022110011122121200
43032312332213203000
512114341434402240
6250012024421200
722022113023534
oct3166676474300
9706273148550
10222113200320
118621a124970
1237069317800
1317c397570ab
14aa70ccbbc4
155b9e9b3930
hex33b6fa78c0

222113200320 has 336 divisors, whose sum is σ = 838756552608. Its totient is φ = 53501460480.

The previous prime is 222113200301. The next prime is 222113200343. The reversal of 222113200320 is 23002311222.

222113200320 is a `hidden beast` number, since 2 + 2 + 21 + 1 + 320 + 0 + 320 = 666.

222113200320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 222113200293 and 222113200302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4951432 + ... + 4996088.

Almost surely, 2222113200320 is an apocalyptic number.

222113200320 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 222113200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419378276304).

222113200320 is an abundant number, since it is smaller than the sum of its proper divisors (616643352288).

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

222113200320 is a wasteful number, since it uses less digits than its factorization.

222113200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44848 (or 44835 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 222113200320 its reverse (23002311222), we get a palindrome (245115511542).

The spelling of 222113200320 in words is "two hundred twenty-two billion, one hundred thirteen million, two hundred thousand, three hundred twenty".