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199302720 = 26353137181
BaseRepresentation
bin10111110000100…
…01111001000000
3111220000121221020
423320101321000
5402010141340
631435425440
74640021331
oct1370217100
9456017836
10199302720
11a25570a1
12568b5280
13323a1b06
141c680288
151276c9d0
hexbe11e40

199302720 has 224 divisors, whose sum is σ = 674558976. Its totient is φ = 49766400.

The previous prime is 199302709. The next prime is 199302739. The reversal of 199302720 is 27203991.

199302720 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101030 + ... + 1101210.

It is an arithmetic number, because the mean of its divisors is an integer number (3011424).

Almost surely, 2199302720 is an apocalyptic number.

199302720 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 199302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337279488).

199302720 is an abundant number, since it is smaller than the sum of its proper divisors (475256256).

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

199302720 is a wasteful number, since it uses less digits than its factorization.

199302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 199302720 is about 14117.4615281927. The cubic root of 199302720 is about 584.1231366044.

The spelling of 199302720 in words is "one hundred ninety-nine million, three hundred two thousand, seven hundred twenty".