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199880478 = 23277122343
BaseRepresentation
bin10111110100111…
…10111100011110
3111221002222110200
423322132330132
5402132133403
631500044330
74644645630
oct1372367436
9457088420
10199880478
11a2911186
1256b336a6
1332544a95
141c790a50
1512833ca3
hexbe9ef1e

199880478 has 48 divisors (see below), whose sum is σ = 501935616. Its totient is φ = 56301840.

The previous prime is 199880477. The next prime is 199880479. The reversal of 199880478 is 874088991.

199880478 is a `hidden beast` number, since 1 + 9 + 98 + 80 + 478 = 666.

It is an interprime number because it is at equal distance from previous prime (199880477) and next prime (199880479).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199880477) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2226 + ... + 20117.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2199880478 is an apocalyptic number.

199880478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199880478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

199880478 is an abundant number, since it is smaller than the sum of its proper divisors (302055138).

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

199880478 is a wasteful number, since it uses less digits than its factorization.

199880478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22429 (or 22426 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 199880478 is about 14137.9092513709. The cubic root of 199880478 is about 584.6870296127.

The spelling of 199880478 in words is "one hundred ninety-nine million, eight hundred eighty thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2982 4473 8946 22343 44686 67029 134058 156401 201087 312802 402174 469203 938406 1407609 1586353 2815218 3172706 4759059 9518118 11104471 14277177 22208942 28554354 33313413 66626826 99940239 199880478