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966056221 = 1325716309
BaseRepresentation
bin111001100101001…
…101100100011101
32111022210202000001
4321211031210131
53434302244341
6235505534301
732640225304
oct7145154435
92438722001
10966056221
1145634a379
1222b644391
131251b4100
149243343b
1559c28d31
hex3994d91d

966056221 has 6 divisors (see below), whose sum is σ = 1046084730. Its totient is φ = 891744048.

The previous prime is 966056177. The next prime is 966056233. The reversal of 966056221 is 122650669.

It can be written as a sum of positive squares in 3 ways, for example, as 19263321 + 946792900 = 4389^2 + 30770^2 .

It is not a de Polignac number, because 966056221 - 225 = 932501789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966056291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2857986 + ... + 2858323.

It is an arithmetic number, because the mean of its divisors is an integer number (174347455).

Almost surely, 2966056221 is an apocalyptic number.

It is an amenable number.

966056221 is a deficient number, since it is larger than the sum of its proper divisors (80028509).

966056221 is a wasteful number, since it uses less digits than its factorization.

966056221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716335 (or 5716322 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 966056221 is about 31081.4449631931. Note that the first 3 decimals coincide. The cubic root of 966056221 is about 988.5549168008.

The spelling of 966056221 in words is "nine hundred sixty-six million, fifty-six thousand, two hundred twenty-one".

Divisors: 1 13 169 5716309 74312017 966056221