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2232045 = 325193257
BaseRepresentation
bin1000100000111011101101
311012101210100
420200323231
51032411140
6115501313
724654264
oct10407355
94171710
102232045
111294a72
128b7839
13601c4a
144215db
152e1530
hex220eed

2232045 has 24 divisors (see below), whose sum is σ = 3904056. Its totient is φ = 1179648.

The previous prime is 2232037. The next prime is 2232053. The reversal of 2232045 is 5402322.

2232045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2232037) and next prime (2232053).

It can be written as a sum of positive squares in 4 ways, for example, as 544644 + 1687401 = 738^2 + 1299^2 .

It is not a de Polignac number, because 2232045 - 23 = 2232037 is a prime.

It is a super-3 number, since 3×22320453 = 33360311183398473375, which contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8557 + ... + 8813.

It is an arithmetic number, because the mean of its divisors is an integer number (162669).

22232045 is an apocalyptic number.

It is an amenable number.

2232045 is a deficient number, since it is larger than the sum of its proper divisors (1672011).

2232045 is a wasteful number, since it uses less digits than its factorization.

2232045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2232045 is about 1494.0030120452. The cubic root of 2232045 is about 130.6875798067.

Adding to 2232045 its reverse (5402322), we get a palindrome (7634367).

The spelling of 2232045 in words is "two million, two hundred thirty-two thousand, forty-five".

Divisors: 1 3 5 9 15 45 193 257 579 771 965 1285 1737 2313 2895 3855 8685 11565 49601 148803 248005 446409 744015 2232045