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196185825 = 325211312557
BaseRepresentation
bin10111011000110…
…00111011100001
3111200011021100200
423230120323201
5400210421300
631244535413
74601360223
oct1354307341
9450137320
10196185825
11a0818350
1255851569
13318501b4
141c0ac413
1512354200
hexbb18ee1

196185825 has 72 divisors (see below), whose sum is σ = 395855616. Its totient is φ = 92016000.

The previous prime is 196185817. The next prime is 196185839. The reversal of 196185825 is 528581691.

It is a happy number.

196185825 is a `hidden beast` number, since 1 + 9 + 61 + 8 + 582 + 5 = 666.

It is not a de Polignac number, because 196185825 - 23 = 196185817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75447 + ... + 78003.

Almost surely, 2196185825 is an apocalyptic number.

196185825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

196185825 is an abundant number, since it is smaller than the sum of its proper divisors (199669791).

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

196185825 is a wasteful number, since it uses less digits than its factorization.

196185825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2607 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 196185825 is about 14006.6350348683. The cubic root of 196185825 is about 581.0620897954.

The spelling of 196185825 in words is "one hundred ninety-six million, one hundred eighty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 31 33 45 55 75 93 99 155 165 225 275 279 341 465 495 775 825 1023 1395 1705 2325 2475 2557 3069 5115 6975 7671 8525 12785 15345 23013 25575 28127 38355 63925 76725 79267 84381 115065 140635 191775 237801 253143 396335 421905 575325 703175 713403 871937 1189005 1265715 1981675 2109525 2615811 3567015 4359685 5945025 6328575 7847433 13079055 17835075 21798425 39237165 65395275 196185825