Search a number
-
+
222111000000000 = 293259232937
BaseRepresentation
bin110010100000001000111111…
…010000010111011000000000
31002010102121022111000122200100
4302200020333100113120000
5213103031312000000000
62104220215035522400
764532663431306026
oct6240107720273000
91063377274018610
10222111000000000
1164853823095061
1220ab27245b9400
1396c1c92541047
143cbc330662716
151aa293bbcba00
hexca023f417600

222111000000000 has 2400 divisors, whose sum is σ = 888331549659840. Its totient is φ = 53222400000000.

The previous prime is 222110999999983. The next prime is 222111000000007. The reversal of 222111000000000 is 111222.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-3 number, since 3×2221110000000003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222111000000007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6002999999982 + ... + 6003000000018.

Almost surely, 2222111000000000 is an apocalyptic number.

222111000000000 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 222111000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444165774829920).

222111000000000 is an abundant number, since it is smaller than the sum of its proper divisors (666220549659840).

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

222111000000000 is an frugal number, since it uses more digits than its factorization.

222111000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 222111000000000 its reverse (111222), we get a palindrome (222111000111222).

The spelling of 222111000000000 in words is "two hundred twenty-two trillion, one hundred eleven billion", and thus it is an aban number.