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2210144332000 = 255311313160481
BaseRepresentation
bin100000001010010110110…
…111100010100011100000
321211021202202110222212111
4200022112313202203200
5242202333422111000
64411154251205104
7315451302566023
oct40122667424340
97737682428774
102210144332000
11782353947840
122b8410a46794
13130553436a57
1478d85d451ba
153c756d1ecba
hex20296de28e0

2210144332000 has 192 divisors, whose sum is σ = 5942954017728. Its totient is φ = 801116160000.

The previous prime is 2210144331991. The next prime is 2210144332007. The reversal of 2210144332000 is 2334410122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210144332007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13691760 + ... + 13852240.

It is an arithmetic number, because the mean of its divisors is an integer number (30952885509).

Almost surely, 22210144332000 is an apocalyptic number.

2210144332000 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 2210144332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971477008864).

2210144332000 is an abundant number, since it is smaller than the sum of its proper divisors (3732809685728).

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

2210144332000 is a wasteful number, since it uses less digits than its factorization.

2210144332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160830 (or 160812 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2210144332000 its reverse (2334410122), we get a palindrome (2212478742122).

The spelling of 2210144332000 in words is "two trillion, two hundred ten billion, one hundred forty-four million, three hundred thirty-two thousand".