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2212965 = 32549177
BaseRepresentation
bin1000011100010001100101
311011102121200
420130101211
51031303330
6115233113
724544536
oct10342145
94142550
102212965
1112816a7
128a8799
135c6361
1441868d
152daa60
hex21c465

2212965 has 12 divisors (see below), whose sum is σ = 3835884. Its totient is φ = 1180224.

The previous prime is 2212963. The next prime is 2212967. The reversal of 2212965 is 5692122.

It is an interprime number because it is at equal distance from previous prime (2212963) and next prime (2212967).

It can be written as a sum of positive squares in 2 ways, for example, as 617796 + 1595169 = 786^2 + 1263^2 .

It is not a de Polignac number, because 2212965 - 21 = 2212963 is a prime.

It is a d-powerful number, because it can be written as 2 + 28 + 1 + 210 + 96 + 68 + 54 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24544 + ... + 24633.

It is an arithmetic number, because the mean of its divisors is an integer number (319657).

22212965 is an apocalyptic number.

It is an amenable number.

2212965 is a deficient number, since it is larger than the sum of its proper divisors (1622919).

2212965 is a wasteful number, since it uses less digits than its factorization.

2212965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49188 (or 49185 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2212965 is about 1487.6037778925. The cubic root of 2212965 is about 130.3141318395.

The spelling of 2212965 in words is "two million, two hundred twelve thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 49177 147531 245885 442593 737655 2212965