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199999932 = 223112181761
BaseRepresentation
bin10111110101111…
…00000110111100
3111221100001022220
423322330012330
5402144444212
631502405340
74645654116
oct1372740674
9457301286
10199999932
11a2992a00
1256b90850
1332587272
141c7c23b6
151285938c
hexbebc1bc

199999932 has 72 divisors (see below), whose sum is σ = 516459216. Its totient is φ = 60192000.

The previous prime is 199999931. The next prime is 199999949. The reversal of 199999932 is 239999991.

199999932 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

199999932 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199999931) 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 23 ways as a sum of consecutive naturals, for example, 262432 + ... + 263192.

Almost surely, 2199999932 is an apocalyptic number.

199999932 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 199999932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258229608).

199999932 is an abundant number, since it is smaller than the sum of its proper divisors (316459284).

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

199999932 is a wasteful number, since it uses less digits than its factorization.

199999932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

The product of its digits is 3188646, while the sum is 60.

The square root of 199999932 is about 14142.1332195677. The cubic root of 199999932 is about 584.8034813648.

The spelling of 199999932 in words is "one hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 181 242 362 363 484 543 724 726 761 1086 1452 1522 1991 2172 2283 3044 3982 4566 5973 7964 8371 9132 11946 16742 21901 23892 25113 33484 43802 50226 65703 87604 92081 100452 131406 137741 184162 262812 275482 276243 368324 413223 550964 552486 826446 1104972 1515151 1652892 3030302 4545453 6060604 9090906 16666661 18181812 33333322 49999983 66666644 99999966 199999932