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222234000320 = 2652323142349
BaseRepresentation
bin1100111011111000101…
…1011011101111000000
3210020121212110221001202
43032332023123233000
512120113401002240
6250032021520332
722025110556243
oct3167613335700
9706555427052
10222234000320
1186281332782
12370a18730a8
1317c587a1197
14aa82d7525a
155baa3c6315
hex33be2dbbc0

222234000320 has 168 divisors, whose sum is σ = 571062307200. Its totient is φ = 82283857920.

The previous prime is 222234000217. The next prime is 222234000323. The reversal of 222234000320 is 23000432222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222234000292 and 222234000301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222234000323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5226506 + ... + 5268854.

It is an arithmetic number, because the mean of its divisors is an integer number (3399180400).

Almost surely, 2222234000320 is an apocalyptic number.

222234000320 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 222234000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285531153600).

222234000320 is an abundant number, since it is smaller than the sum of its proper divisors (348828306880).

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

222234000320 is a wasteful number, since it uses less digits than its factorization.

222234000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42443 (or 42410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 222234000320 its reverse (23000432222), we get a palindrome (245234432542).

The spelling of 222234000320 in words is "two hundred twenty-two billion, two hundred thirty-four million, three hundred twenty", and thus it is an aban number.