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199684212000 = 253537213151173
BaseRepresentation
bin1011100111111000011…
…0110100010100100000
3201002102100001222210120
42321332012310110200
511232423124241000
6231422245400240
720266234540200
oct2717606642440
9632370058716
10199684212000
117775a593a89
1232849a09080
1315aa3a84180
14994419c400
1552da8976a0
hex2e7e1b4520

199684212000 has 1152 divisors, whose sum is σ = 829699573248. Its totient is φ = 41610240000.

The previous prime is 199684211981. The next prime is 199684212019. The reversal of 199684212000 is 212486991.

It is an interprime number because it is at equal distance from previous prime (199684211981) and next prime (199684212019).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1154243914 + ... + 1154244086.

It is an arithmetic number, because the mean of its divisors is an integer number (720225324).

Almost surely, 2199684212000 is an apocalyptic number.

199684212000 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 199684212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414849786624).

199684212000 is an abundant number, since it is smaller than the sum of its proper divisors (630015361248).

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

199684212000 is a wasteful number, since it uses less digits than its factorization.

199684212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

Adding to 199684212000 its reverse (212486991), we get a palindrome (199896698991).

The spelling of 199684212000 in words is "one hundred ninety-nine billion, six hundred eighty-four million, two hundred twelve thousand".