Search a number
-
+
222312000000 = 2935659157
BaseRepresentation
bin1100111100001011010…
…0111110101000000000
3210020211022020201111210
43033002310332220000
512120243333000000
6250043445410120
722030045551456
oct3170264765000
9706738221453
10222312000000
1186311368022
1237103a09940
1317c6b9b0c3c
14aa8d47a9d6
155bb2182350
hex33c2d3ea00

222312000000 has 560 divisors, whose sum is σ = 757649676960. Its totient is φ = 57907200000.

The previous prime is 222311999993. The next prime is 222312000047. The reversal of 222312000000 is 213222.

222312000000 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 (12).

It is a self number, because there is not a number n which added to its sum of digits gives 222312000000.

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 55 ways as a sum of consecutive naturals, for example, 1415999922 + ... + 1416000078.

Almost surely, 2222312000000 is an apocalyptic number.

222312000000 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 222312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378824838480).

222312000000 is an abundant number, since it is smaller than the sum of its proper divisors (535337676960).

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

222312000000 is an frugal number, since it uses more digits than its factorization.

222312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 222312000000 its reverse (213222), we get a palindrome (222312213222).

The spelling of 222312000000 in words is "two hundred twenty-two billion, three hundred twelve million", and thus it is an aban number.