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200022010000 = 245420002201
BaseRepresentation
bin1011101001001000111…
…1011010100010010000
3201010021212200220112121
42322102033122202100
511234121113310000
6231515553504024
720310506014051
oct2722217324220
9633255626477
10200022010000
117791323468a
1232922b72014
1315b28a57447
149976db0728
15530a370b1a
hex2e923da890

200022010000 has 50 divisors (see below), whose sum is σ = 484273312622. Its totient is φ = 80008800000.

The previous prime is 200022009997. The next prime is 200022010033. The reversal of 200022010000 is 10220002.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 54623168656 + 145398841344 = 233716^2 + 381312^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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 9 ways as a sum of consecutive naturals, for example, 9991101 + ... + 10011100.

Almost surely, 2200022010000 is an apocalyptic number.

200022010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200022010000 is an abundant number, since it is smaller than the sum of its proper divisors (284251302622).

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

200022010000 is an equidigital number, since it uses as much as digits as its factorization.

200022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20002229 (or 20002208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 200022010000 its reverse (10220002), we get a palindrome (200032230002).

The spelling of 200022010000 in words is "two hundred billion, twenty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 20002201 40004402 80008804 100011005 160017608 200022010 320035216 400044020 500055025 800088040 1000110050 1600176080 2000220100 2500275125 4000440200 5000550250 8000880400 10001100500 12501375625 20002201000 25002751250 40004402000 50005502500 100011005000 200022010000