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12205044 = 2232418269
BaseRepresentation
bin101110100011…
…101111110100
3211222002011200
4232203233310
511111030134
61113332500
7205512135
oct56435764
924862150
1012205044
116986915
124107130
1326b4427
141899c8c
151111499
hexba3bf4

12205044 has 36 divisors (see below), whose sum is σ = 31607940. Its totient is φ = 3968640.

The previous prime is 12205033. The next prime is 12205069. The reversal of 12205044 is 44050221.

It can be written as a sum of positive squares in 2 ways, for example, as 5702544 + 6502500 = 2388^2 + 2550^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2659 + ... + 5610.

Almost surely, 212205044 is an apocalyptic number.

It is an amenable number.

12205044 is an abundant number, since it is smaller than the sum of its proper divisors (19402896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12205044 is a wasteful number, since it uses less digits than its factorization.

12205044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12205044 is about 3493.5718111984. The cubic root of 12205044 is about 230.2394733239.

Adding to 12205044 its reverse (44050221), we get a palindrome (56255265).

The spelling of 12205044 in words is "twelve million, two hundred five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 8269 16538 24807 33076 49614 74421 99228 148842 297684 339029 678058 1017087 1356116 2034174 3051261 4068348 6102522 12205044