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205374225 = 35273112619
BaseRepresentation
bin11000011110111…
…00001100010001
3112022110002110210
430033130030101
5410033433400
632213514333
75042436450
oct1417341421
9468402423
10205374225
11a5a23771
12589429a9
1333719514
141d3c0b97
151306b950
hexc3dc311

205374225 has 48 divisors (see below), whose sum is σ = 400609280. Its totient is φ = 90849600.

The previous prime is 205374217. The next prime is 205374233. The reversal of 205374225 is 522473502.

It is an interprime number because it is at equal distance from previous prime (205374217) and next prime (205374233).

It is not a de Polignac number, because 205374225 - 23 = 205374217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205374192 and 205374201.

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 47 ways as a sum of consecutive naturals, for example, 9966 + ... + 22584.

Almost surely, 2205374225 is an apocalyptic number.

205374225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205374225 is a deficient number, since it is larger than the sum of its proper divisors (195235055).

205374225 is a wasteful number, since it uses less digits than its factorization.

205374225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12670 (or 12665 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 205374225 is about 14330.8836084870. The cubic root of 205374225 is about 589.9954275237.

The spelling of 205374225 in words is "two hundred five million, three hundred seventy-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 31 35 75 93 105 155 175 217 465 525 651 775 1085 2325 3255 5425 12619 16275 37857 63095 88333 189285 264999 315475 391189 441665 946425 1173567 1324995 1955945 2208325 2738323 5867835 6624975 8214969 9779725 13691615 29339175 41074845 68458075 205374225