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200232100200 = 2335211197154001
BaseRepresentation
bin1011101001111011000…
…0110110000101101000
3201010211112000121010010
42322132300312011220
511240033404201300
6231552500451520
720315636524656
oct2723660660550
9633745017103
10200232100200
1177a10889550
12329813a9ba0
1315b60435382
149996c5bdd6
15531da1ea50
hex2e9ec36168

200232100200 has 192 divisors, whose sum is σ = 680590278720. Its totient is φ = 48294400000.

The previous prime is 200232100199. The next prime is 200232100223. The reversal of 200232100200 is 2001232002.

200232100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223200 + ... + 1377200.

It is an arithmetic number, because the mean of its divisors is an integer number (3544741035).

Almost surely, 2200232100200 is an apocalyptic number.

200232100200 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 200232100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340295139360).

200232100200 is an abundant number, since it is smaller than the sum of its proper divisors (480358178520).

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

200232100200 is a wasteful number, since it uses less digits than its factorization.

200232100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154228 (or 154219 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 200232100200 its reverse (2001232002), we get a palindrome (202233332202).

The spelling of 200232100200 in words is "two hundred billion, two hundred thirty-two million, one hundred thousand, two hundred".