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2230031322200 = 2352112954164609
BaseRepresentation
bin100000011100111000001…
…110011000110001011000
321220012002201100202211002
4200130320032120301120
5243014101004302300
64424243502324132
7320054153324213
oct40347016306130
97805081322732
102230031322200
1178a8295a9930
12300240b89648
131323a2594386
1479d1121077a
153d01cbb65d5
hex20738398c58

2230031322200 has 192 divisors, whose sum is σ = 5862116988000. Its totient is φ = 781498368000.

The previous prime is 2230031322193. The next prime is 2230031322203. The reversal of 2230031322200 is 22231300322.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230031322203) 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 47 ways as a sum of consecutive naturals, for example, 34483496 + ... + 34548104.

Almost surely, 22230031322200 is an apocalyptic number.

2230031322200 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 2230031322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931058494000).

2230031322200 is an abundant number, since it is smaller than the sum of its proper divisors (3632085665800).

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

2230031322200 is a wasteful number, since it uses less digits than its factorization.

2230031322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65206 (or 65197 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2230031322200 its reverse (22231300322), we get a palindrome (2252262622522).

The spelling of 2230031322200 in words is "two trillion, two hundred thirty billion, thirty-one million, three hundred twenty-two thousand, two hundred".