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199997998200 = 233252721113101157
BaseRepresentation
bin1011101001000011001…
…1110100010001111000
3201010020012111222112200
42322100303310101320
511234043441420300
6231513335110200
720310064635600
oct2722063642170
9633205458480
10199997998200
1177900724220
1232916b12360
1315b23a9ac90
149973b1dc00
1553081cb200
hex2e90cf4478

199997998200 has 1728 divisors, whose sum is σ = 932905602720. Its totient is φ = 37739520000.

The previous prime is 199997998177. The next prime is 199997998217. The reversal of 199997998200 is 2899799991.

199997998200 is digitally balanced in base 3, 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1273872522 + ... + 1273872678.

Almost surely, 2199997998200 is an apocalyptic number.

199997998200 is a gapful number since it is divisible by the number (10) 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 199997998200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466452801360).

199997998200 is an abundant number, since it is smaller than the sum of its proper divisors (732907604520).

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

199997998200 is a wasteful number, since it uses less digits than its factorization.

199997998200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 59521392, while the sum is 72.

The spelling of 199997998200 in words is "one hundred ninety-nine billion, nine hundred ninety-seven million, nine hundred ninety-eight thousand, two hundred".