Search a number
-
+
222220101121000 = 235323101551917333
BaseRepresentation
bin110010100001101110100110…
…001100000111001111101000
31002010211000220221000211212121
4302201232212030013033220
5213111323231341333000
62104342301035321024
764543605156450013
oct6241564614071750
91063730827024777
10222220101121000
11648960198a9064
1220b0b8b22b0174
1396cc35b747888
143cc37202dc37a
151aa56c4e19b1a
hexca1ba63073e8

222220101121000 has 256 divisors, whose sum is σ = 548106737817600. Its totient is φ = 84161418880000.

The previous prime is 222220101120967. The next prime is 222220101121001. The reversal of 222220101121000 is 121101022222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (222220101121001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12820628334 + ... + 12820645666.

It is an arithmetic number, because the mean of its divisors is an integer number (2141041944600).

Almost surely, 2222220101121000 is an apocalyptic number.

222220101121000 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 222220101121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274053368908800).

222220101121000 is an abundant number, since it is smaller than the sum of its proper divisors (325886636696600).

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

222220101121000 is a wasteful number, since it uses less digits than its factorization.

222220101121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22997 (or 22983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222220101121000 its reverse (121101022222), we get a palindrome (222341202143222).

The spelling of 222220101121000 in words is "two hundred twenty-two trillion, two hundred twenty billion, one hundred one million, one hundred twenty-one thousand".