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2256165 = 325181277
BaseRepresentation
bin1000100110110100100101
311020121212200
420212310211
51034144130
6120205113
725114512
oct10466445
94217780
102256165
1113010aa
12909799
1360cc12
1442a309
152e8760
hex226d25

2256165 has 24 divisors (see below), whose sum is σ = 3946488. Its totient is φ = 1192320.

The previous prime is 2256131. The next prime is 2256169. The reversal of 2256165 is 5616522.

It can be written as a sum of positive squares in 4 ways, for example, as 86436 + 2169729 = 294^2 + 1473^2 .

It is not a de Polignac number, because 2256165 - 221 = 159013 is a prime.

It is a Curzon number.

2256165 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8007 + ... + 8283.

It is an arithmetic number, because the mean of its divisors is an integer number (164437).

22256165 is an apocalyptic number.

It is an amenable number.

2256165 is a deficient number, since it is larger than the sum of its proper divisors (1690323).

2256165 is a wasteful number, since it uses less digits than its factorization.

2256165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 466 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2256165 is about 1502.0535942502. The cubic root of 2256165 is about 131.1566410920.

The spelling of 2256165 in words is "two million, two hundred fifty-six thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 181 277 543 831 905 1385 1629 2493 2715 4155 8145 12465 50137 150411 250685 451233 752055 2256165