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199988192 = 25314492
BaseRepresentation
bin10111110101110…
…01001111100000
3111221022110020002
423322321033200
5402144110232
631502235132
74645604645
oct1372711740
9457273202
10199988192
11a29850a8
1256b85aa8
1332581b11
141c7bbdcc
1512855b62
hexbeb93e0

199988192 has 36 divisors (see below), whose sum is σ = 407334816. Its totient is φ = 96552960.

The previous prime is 199988179. The next prime is 199988207. The reversal of 199988192 is 291889991.

199988192 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 5 ways as a sum of consecutive naturals, for example, 445184 + ... + 445632.

It is an arithmetic number, because the mean of its divisors is an integer number (11314856).

Almost surely, 2199988192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199988192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203667408).

199988192 is an abundant number, since it is smaller than the sum of its proper divisors (207346624).

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

199988192 is an frugal number, since it uses more digits than its factorization.

199988192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 482 counting only the distinct ones).

The product of its digits is 839808, while the sum is 56.

The square root of 199988192 is about 14141.7181417252. The cubic root of 199988192 is about 584.7920384823.

The spelling of 199988192 in words is "one hundred ninety-nine million, nine hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 449 496 898 992 1796 3592 7184 13919 14368 27838 55676 111352 201601 222704 403202 445408 806404 1612808 3225616 6249631 6451232 12499262 24998524 49997048 99994096 199988192