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200080008 = 233216672
BaseRepresentation
bin10111110110011…
…11101010001000
3111221111010011200
423323033222020
5402210030013
631504224200
74646436432
oct1373175210
9457433150
10200080008
11a2a38087
125700b060
13325b484b
141c803652
1512872e73
hexbecfa88

200080008 has 36 divisors (see below), whose sum is σ = 542208615. Its totient is φ = 66653328.

The previous prime is 200080003. The next prime is 200080037. The reversal of 200080008 is 800080002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 100040004 + 100040004 = 10002^2 + 10002^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10002.

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 (200080003) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119191 + ... + 120857.

Almost surely, 2200080008 is an apocalyptic number.

It is an amenable number.

200080008 is an abundant number, since it is smaller than the sum of its proper divisors (342128607).

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

200080008 is an equidigital number, since it uses as much as digits as its factorization.

200080008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 1672 counting only the distinct ones).

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

The square root of 200080008 is about 14144.9640508557. The cubic root of 200080008 is about 584.8815188500.

Multiplying 200080008 by its sum of digits (18), we get a square (3601440144 = 600122).

200080008 divided by its sum of digits (18) gives a square (11115556 = 33342).

Multiplying 200080008 by its product of nonzero digits (128), we get a square (25610241024 = 1600322).

The spelling of 200080008 in words is "two hundred million, eighty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1667 3334 5001 6668 10002 13336 15003 20004 30006 40008 60012 120024 2778889 5557778 8336667 11115556 16673334 22231112 25010001 33346668 50020002 66693336 100040004 200080008