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199524980 = 22531331873
BaseRepresentation
bin10111110010010…
…00001001110100
3111220102220211002
423321020021310
5402034244410
631444302432
74641635324
oct1371101164
9456386732
10199524980
11a2699086
12569a1a18
133244c025
141c6db284
15127b37a5
hexbe48274

199524980 has 24 divisors (see below), whose sum is σ = 420354312. Its totient is φ = 79552512.

The previous prime is 199524973. The next prime is 199524991. The reversal of 199524980 is 89425991.

It can be written as a sum of positive squares in 4 ways, for example, as 6370576 + 193154404 = 2524^2 + 13898^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9677 + ... + 22196.

It is an arithmetic number, because the mean of its divisors is an integer number (17514763).

Almost surely, 2199524980 is an apocalyptic number.

199524980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199524980 is an abundant number, since it is smaller than the sum of its proper divisors (220829332).

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

199524980 is a wasteful number, since it uses less digits than its factorization.

199524980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32195 (or 32193 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The square root of 199524980 is about 14125.3311465608. The cubic root of 199524980 is about 584.3401916411.

The spelling of 199524980 in words is "one hundred ninety-nine million, five hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 313 626 1252 1565 3130 6260 31873 63746 127492 159365 318730 637460 9976249 19952498 39904996 49881245 99762490 199524980