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199723992 = 233134314887
BaseRepresentation
bin10111110011110…
…00101111011000
3111220211000210220
423321320233120
5402112131432
631452440040
74643424456
oct1371705730
9456730726
10199723992
11a2814656
1256a79020
13324bb7a0
141c74d9d6
151280272c
hexbe78bd8

199723992 has 64 divisors (see below), whose sum is σ = 550260480. Its totient is φ = 60020352.

The previous prime is 199723987. The next prime is 199723999. The reversal of 199723992 is 299327991.

It is a happy number.

199723992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199723999) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5973 + ... + 20859.

It is an arithmetic number, because the mean of its divisors is an integer number (8597820).

Almost surely, 2199723992 is an apocalyptic number.

199723992 is a gapful number since it is divisible by the number (12) 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 199723992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275130240).

199723992 is an abundant number, since it is smaller than the sum of its proper divisors (350536488).

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

199723992 is a wasteful number, since it uses less digits than its factorization.

199723992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14952 (or 14948 counting only the distinct ones).

The product of its digits is 551124, while the sum is 51.

The square root of 199723992 is about 14132.3738982522. The cubic root of 199723992 is about 584.5344063667.

The spelling of 199723992 in words is "one hundred ninety-nine million, seven hundred twenty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 13416 14887 29774 44661 59548 89322 119096 178644 193531 357288 387062 580593 640141 774124 1161186 1280282 1548248 1920423 2322372 2560564 3840846 4644744 5121128 7681692 8321833 15363384 16643666 24965499 33287332 49930998 66574664 99861996 199723992