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2210223132000 = 253353137919927
BaseRepresentation
bin100000001010011011100…
…100001000110101100000
321211021222020202110011000
4200022123210020311200
5242203014110211000
64411210144152000
7315453250433442
oct40123344106540
97737866673130
102210223132000
11782394379404
122b8433308600
13130566866b80
1478d925b8492
153c75dbd8000
hex2029b908d60

2210223132000 has 768 divisors, whose sum is σ = 8774186803200. Its totient is φ = 537141196800.

The previous prime is 2210223131993. The next prime is 2210223132023. The reversal of 2210223132000 is 2313220122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110906037 + ... + 110925963.

It is an arithmetic number, because the mean of its divisors is an integer number (11424722400).

Almost surely, 22210223132000 is an apocalyptic number.

2210223132000 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 2210223132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387093401600).

2210223132000 is an abundant number, since it is smaller than the sum of its proper divisors (6563963671200).

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

2210223132000 is a wasteful number, since it uses less digits than its factorization.

2210223132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20053 (or 20029 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2210223132000 its reverse (2313220122), we get a palindrome (2212536352122).

The spelling of 2210223132000 in words is "two trillion, two hundred ten billion, two hundred twenty-three million, one hundred thirty-two thousand".