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199931292 = 223211504877
BaseRepresentation
bin10111110101010…
…11010110011100
3111221012120011200
423322223112130
5402140300132
631501115500
74645250031
oct1372532634
9457176150
10199931292
11a2946380
1256b58b90
1332561c52
141c7a5388
1512843d7c
hexbeab59c

199931292 has 36 divisors (see below), whose sum is σ = 551326776. Its totient is φ = 60585120.

The previous prime is 199931273. The next prime is 199931311. The reversal of 199931292 is 292139991.

It is an interprime number because it is at equal distance from previous prime (199931273) and next prime (199931311).

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 252043 + ... + 252834.

Almost surely, 2199931292 is an apocalyptic number.

199931292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199931292 is an abundant number, since it is smaller than the sum of its proper divisors (351395484).

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

199931292 is a wasteful number, since it uses less digits than its factorization.

199931292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504898 (or 504893 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 199931292 is about 14139.7062204276. The cubic root of 199931292 is about 584.7365721688.

The spelling of 199931292 in words is "one hundred ninety-nine million, nine hundred thirty-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 504877 1009754 1514631 2019508 3029262 4543893 5553647 6058524 9087786 11107294 16660941 18175572 22214588 33321882 49982823 66643764 99965646 199931292