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66902225 = 52131712109
BaseRepresentation
bin1111111100110…
…1100011010001
311122212222121012
43333031203101
5114111332400
610345540305
71441442135
oct377154321
9148788535
1066902225
11348456a5
121a4a4695
1310b25820
148c573c5
155d17d35
hex3fcd8d1

66902225 has 24 divisors (see below), whose sum is σ = 94603320. Its totient is φ = 46494720.

The previous prime is 66902219. The next prime is 66902243. The reversal of 66902225 is 52220966.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3094081 + 63808144 = 1759^2 + 7988^2 .

It is not a de Polignac number, because 66902225 - 28 = 66901969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66902191 and 66902200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530 + ... + 11579.

It is an arithmetic number, because the mean of its divisors is an integer number (3941805).

Almost surely, 266902225 is an apocalyptic number.

66902225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66902225 is a deficient number, since it is larger than the sum of its proper divisors (27701095).

66902225 is a wasteful number, since it uses less digits than its factorization.

66902225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12149 (or 12144 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 66902225 is about 8179.3780325890. The cubic root of 66902225 is about 405.9571427822.

The spelling of 66902225 in words is "sixty-six million, nine hundred two thousand, two hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 221 325 425 1105 5525 12109 60545 157417 205853 302725 787085 1029265 2676089 3935425 5146325 13380445 66902225