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199302525 = 355253619
BaseRepresentation
bin10111110000100…
…01110101111101
3111220000121200000
423320101311331
5402010140100
631435424513
74640020632
oct1370216575
9456017600
10199302525
11a2556a34
12568b5139
13323a19b6
141c680189
151276c900
hexbe11d7d

199302525 has 72 divisors (see below), whose sum is σ = 377788320. Its totient is φ = 104120640.

The previous prime is 199302469. The next prime is 199302557. The reversal of 199302525 is 525203991.

It is a happy number.

It is not a de Polignac number, because 199302525 - 28 = 199302269 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 199302525.

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 71 ways as a sum of consecutive naturals, for example, 321666 + ... + 322284.

It is an arithmetic number, because the mean of its divisors is an integer number (5247060).

Almost surely, 2199302525 is an apocalyptic number.

199302525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199302525 is a deficient number, since it is larger than the sum of its proper divisors (178485795).

199302525 is an equidigital number, since it uses as much as digits as its factorization.

199302525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 199302525 is about 14117.4546218502. The cubic root of 199302525 is about 584.1229461001.

The spelling of 199302525 in words is "one hundred ninety-nine million, three hundred two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 53 75 81 135 159 225 243 265 405 477 619 675 795 1215 1325 1431 1857 2025 2385 3095 3975 4293 5571 6075 7155 9285 11925 12879 15475 16713 21465 27855 32807 35775 46425 50139 64395 83565 98421 107325 139275 150417 164035 250695 295263 321975 417825 492105 752085 820175 885789 1253475 1476315 2460525 2657367 3760425 4428945 7381575 7972101 13286835 22144725 39860505 66434175 199302525