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200438020 = 22517535717
BaseRepresentation
bin10111111001001…
…11000100000100
3111222011022021101
423330213010010
5402303004040
631520025444
74652460256
oct1374470404
9458138241
10200438020
11a3162062
1257162284
13326ab7a3
141c897cd6
15128e409a
hexbf27104

200438020 has 24 divisors (see below), whose sum is σ = 421233624. Its totient is φ = 80115456.

The previous prime is 200437969. The next prime is 200438023. The reversal of 200438020 is 20834002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 611524 + 199826496 = 782^2 + 14136^2 .

It is not an unprimeable number, because it can be changed into a prime (200438023) 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 7 ways as a sum of consecutive naturals, for example, 32202 + ... + 37918.

It is an arithmetic number, because the mean of its divisors is an integer number (17551401).

Almost surely, 2200438020 is an apocalyptic number.

200438020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200438020 is an abundant number, since it is smaller than the sum of its proper divisors (220795604).

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

200438020 is a wasteful number, since it uses less digits than its factorization.

200438020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7479 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 200438020 is about 14157.6134994567. The cubic root of 200438020 is about 585.2301624342.

The spelling of 200438020 in words is "two hundred million, four hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 1753 3506 5717 7012 8765 11434 17530 22868 28585 35060 57170 114340 10021901 20043802 40087604 50109505 100219010 200438020