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2204664 = 2337111193
BaseRepresentation
bin1000011010001111111000
311011000020020
420122033320
51031022124
6115130440
724511410
oct10321770
94130206
102204664
111276440
128a3a20
135c2647
14415640
152d8379
hex21a3f8

2204664 has 64 divisors (see below), whose sum is σ = 6877440. Its totient is φ = 572160.

The previous prime is 2204663. The next prime is 2204669. The reversal of 2204664 is 4664022.

2204664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 29 + 219 + 0 + 42 + 63 + 68 + 42 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1252 + ... + 2444.

It is an arithmetic number, because the mean of its divisors is an integer number (107460).

22204664 is an apocalyptic number.

2204664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438720).

2204664 is an abundant number, since it is smaller than the sum of its proper divisors (4672776).

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

2204664 is a wasteful number, since it uses less digits than its factorization.

2204664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2204664 is about 1484.8110990964. The cubic root of 2204664 is about 130.1509882751.

Adding to 2204664 its reverse (4664022), we get a palindrome (6868686).

It can be divided in two parts, 220 and 4664, that added together give a palindrome (4884).

The spelling of 2204664 in words is "two million, two hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1193 1848 2386 3579 4772 7158 8351 9544 13123 14316 16702 25053 26246 28632 33404 39369 50106 52492 66808 78738 91861 100212 104984 157476 183722 200424 275583 314952 367444 551166 734888 1102332 2204664