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200202112008 = 233217267163881
BaseRepresentation
bin1011101001110011111…
…0011100110000001000
3201010202102121001001100
42322130332130300020
511240003220041013
6231545510021400
720315123605563
oct2723476346010
9633672531040
10200202112008
11779a5966a18
1232973347860
1315b57165892
149992c934da
15531b099473
hex2e9cf9cc08

200202112008 has 288 divisors, whose sum is σ = 588835971360. Its totient is φ = 61421690880.

The previous prime is 200202111983. The next prime is 200202112009. The reversal of 200202112008 is 800211202002.

It is a happy number.

200202112008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (200202112009) 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 71 ways as a sum of consecutive naturals, for example, 227243728 + ... + 227244608.

It is an arithmetic number, because the mean of its divisors is an integer number (2044569345).

Almost surely, 2200202112008 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 200202112008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294417985680).

200202112008 is an abundant number, since it is smaller than the sum of its proper divisors (388633859352).

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

200202112008 is a wasteful number, since it uses less digits than its factorization.

200202112008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 200202112008 in words is "two hundred billion, two hundred two million, one hundred twelve thousand, eight".