Search a number
-
+
222230110320000 = 273254463666637
BaseRepresentation
bin110010100001110111111010…
…110010001011010110000000
31002010211222202111002211122200
4302201313322302023112000
5213112004231220220000
62104351034151233200
764544411205314136
oct6241677262132600
91063758674084580
10222230110320000
116489a295826452
1220b11826378800
139700295306133
143cc3dcd777756
151aa5aad9e3500
hexca1dfac8b580

222230110320000 has 480 divisors, whose sum is σ = 800834202648480. Its totient is φ = 59133279744000.

The previous prime is 222230110319989. The next prime is 222230110320037. The reversal of 222230110320000 is 23011032222.

222230110320000 is a `hidden beast` number, since 2 + 2 + 2 + 230 + 110 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent 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 59 ways as a sum of consecutive naturals, for example, 333026682 + ... + 333693318.

It is an arithmetic number, because the mean of its divisors is an integer number (1668404588851).

Almost surely, 2222230110320000 is an apocalyptic number.

222230110320000 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 222230110320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400417101324240).

222230110320000 is an abundant number, since it is smaller than the sum of its proper divisors (578604092328480).

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

222230110320000 is an equidigital number, since it uses as much as digits as its factorization.

222230110320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667140 (or 667110 counting only the distinct ones).

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

Adding to 222230110320000 its reverse (23011032222), we get a palindrome (222253121352222).

The spelling of 222230110320000 in words is "two hundred twenty-two trillion, two hundred thirty billion, one hundred ten million, three hundred twenty thousand".