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199035792 = 24341959137
BaseRepresentation
bin10111101110100…
…00101110010000
3111212112001210000
423313100232100
5401423121132
631430010000
74634530164
oct1367205620
9455461700
10199035792
11a239459a
12567a6900
133230a477
141c610ca4
151271887c
hexbdd0b90

199035792 has 200 divisors, whose sum is σ = 621165600. Its totient is φ = 61337088.

The previous prime is 199035769. The next prime is 199035817. The reversal of 199035792 is 297530991.

It is a happy number.

199035792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1452748 + ... + 1452884.

It is an arithmetic number, because the mean of its divisors is an integer number (3105828).

Almost surely, 2199035792 is an apocalyptic number.

199035792 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 199035792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310582800).

199035792 is an abundant number, since it is smaller than the sum of its proper divisors (422129808).

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

199035792 is a wasteful number, since it uses less digits than its factorization.

199035792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 199035792 is about 14108.0045364325. The cubic root of 199035792 is about 583.8622462357.

The spelling of 199035792 in words is "one hundred ninety-nine million, thirty-five thousand, seven hundred ninety-two".