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200012904 = 2332741389
BaseRepresentation
bin10111110101111…
…11010001101000
3111221100201010100
423322333101220
5402200403104
631502545400
74646040000
oct1372772150
9457321110
10200012904
11a29a1723
1256b98260
1332590140
141c7c7000
151285d139
hexbebf468

200012904 has 240 divisors, whose sum is σ = 688205700. Its totient is φ = 52157952.

The previous prime is 200012881. The next prime is 200012921. The reversal of 200012904 is 409210002.

It can be written as a sum of positive squares in 2 ways, for example, as 175032900 + 24980004 = 13230^2 + 4998^2 .

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 2247292 + ... + 2247380.

Almost surely, 2200012904 is an apocalyptic number.

200012904 is a gapful number since it is divisible by the number (24) 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 200012904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344102850).

200012904 is an abundant number, since it is smaller than the sum of its proper divisors (488192796).

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

200012904 is a wasteful number, since it uses less digits than its factorization.

200012904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 200012904 is about 14142.5918416675. The cubic root of 200012904 is about 584.8161245471.

Adding to 200012904 its reverse (409210002), we get a palindrome (609222906).

The spelling of 200012904 in words is "two hundred million, twelve thousand, nine hundred four".