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2232105 = 35672221
BaseRepresentation
bin1000100000111100101001
311012101212120
420200330221
51032411410
6115501453
724654411
oct10407451
94171776
102232105
111295017
128b7889
13601c95
14421641
152e1570
hex220f29

2232105 has 16 divisors (see below), whose sum is σ = 3626304. Its totient is φ = 1172160.

The previous prime is 2232071. The next prime is 2232107. The reversal of 2232105 is 5012322.

It is not a de Polignac number, because 2232105 - 28 = 2231849 is a prime.

It is a super-3 number, since 3×22321053 = 33363001549153672875, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a d-powerful number, because it can be written as 29 + 217 + 35 + 221 + 1 + 0 + 55 .

2232105 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (226644).

22232105 is an apocalyptic number.

It is an amenable number.

2232105 is a deficient number, since it is larger than the sum of its proper divisors (1394199).

2232105 is a wasteful number, since it uses less digits than its factorization.

2232105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2232105 is about 1494.0230921910. The cubic root of 2232105 is about 130.6887508083.

Adding to 2232105 its reverse (5012322), we get a palindrome (7244427).

The spelling of 2232105 in words is "two million, two hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 15 67 201 335 1005 2221 6663 11105 33315 148807 446421 744035 2232105