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2230000200 = 233352503821
BaseRepresentation
bin1000010011101011…
…0001101001001000
312202102010202012000
42010322301221020
514031340001300
61005140351000
7106155455211
oct20472615110
95672122160
102230000200
11a4486017a
125229a5460
1329700675c
1417224a408
15d0b95c00
hex84eb1a48

2230000200 has 192 divisors, whose sum is σ = 7705756800. Its totient is φ = 592761600.

The previous prime is 2230000141. The next prime is 2230000207. The reversal of 2230000200 is 20000322.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2230000207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2715790 + ... + 2716610.

It is an arithmetic number, because the mean of its divisors is an integer number (40134150).

Almost surely, 22230000200 is an apocalyptic number.

2230000200 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 2230000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852878400).

2230000200 is an abundant number, since it is smaller than the sum of its proper divisors (5475756600).

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

2230000200 is a wasteful number, since it uses less digits than its factorization.

2230000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2230000200 is about 47222.8779300881. The cubic root of 2230000200 is about 1306.4765952301.

Adding to 2230000200 its reverse (20000322), we get a palindrome (2250000522).

The spelling of 2230000200 in words is "two billion, two hundred thirty million, two hundred", and thus it is an aban number.