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200003420160 = 21733589127
BaseRepresentation
bin1011101001000100100…
…0100000000000000000
3201010020120201110002000
42322101020200000000
511234101333421120
6231514051224000
720310162010215
oct2722110400000
9633216643060
10200003420160
1177903797885
12329188a8000
1315b24c48b3b
149974731b0c
1553088ec990
hex2e91220000

200003420160 has 576 divisors, whose sum is σ = 724772966400. Its totient is φ = 52319748096.

The previous prime is 200003420153. The next prime is 200003420209. The reversal of 200003420160 is 61024300002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1574830017 + ... + 1574830143.

It is an arithmetic number, because the mean of its divisors is an integer number (1258286400).

Almost surely, 2200003420160 is an apocalyptic number.

200003420160 is a gapful number since it is divisible by the number (20) 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 200003420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362386483200).

200003420160 is an abundant number, since it is smaller than the sum of its proper divisors (524769546240).

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

200003420160 is an frugal number, since it uses more digits than its factorization.

200003420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200003420160 its reverse (61024300002), we get a palindrome (261027720162).

The spelling of 200003420160 in words is "two hundred billion, three million, four hundred twenty thousand, one hundred sixty".