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200223399420324 = 223572347673531151
BaseRepresentation
bin101101100001101000100100…
…100110010010000110100100
3222020221011120222001110100000
4231201220210212102012210
5202220430010222422244
61545501205422221300
760113443330130040
oct5541504446220644
9866834528043300
10200223399420324
11588852a3183355
121a558777424830
138794ca73379a7
143762c15687020
15182340b920169
hexb61a249921a4

200223399420324 has 1152 divisors, whose sum is σ = 651188231995392. Its totient is φ = 52560708710400.

The previous prime is 200223399420323. The next prime is 200223399420353. The reversal of 200223399420324 is 423024993322002.

200223399420324 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 2 + 339 + 94 + 203 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 200223399420324.

It is not an unprimeable number, because it can be changed into a prime (200223399420323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 173956037149 + ... + 173956038299.

It is an arithmetic number, because the mean of its divisors is an integer number (565267562496).

Almost surely, 2200223399420324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200223399420324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325594115997696).

200223399420324 is an abundant number, since it is smaller than the sum of its proper divisors (450964832575068).

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

200223399420324 is a wasteful number, since it uses less digits than its factorization.

200223399420324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 200223399420324 in words is "two hundred trillion, two hundred twenty-three billion, three hundred ninety-nine million, four hundred twenty thousand, three hundred twenty-four".