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2205234324 = 2232113542093
BaseRepresentation
bin1000001101110001…
…0011010010010100
312200200112111210100
42003130103102110
514004014444244
61002453454100
7105435116406
oct20334232224
95620474710
102205234324
11a31885207
12516641330
13291b44ca7
1416cc40b76
15cd902b69
hex83713494

2205234324 has 36 divisors (see below), whose sum is σ = 5623683156. Its totient is φ = 728571648.

The previous prime is 2205234307. The next prime is 2205234331. The reversal of 2205234324 is 4234325022.

It is a happy number.

2205234324 is a `hidden beast` number, since 2 + 205 + 23 + 432 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 762753924 + 1442480400 = 27618^2 + 37980^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266979 + ... + 275114.

It is an arithmetic number, because the mean of its divisors is an integer number (156213421).

Almost surely, 22205234324 is an apocalyptic number.

It is an amenable number.

2205234324 is an abundant number, since it is smaller than the sum of its proper divisors (3418448832).

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

2205234324 is a wasteful number, since it uses less digits than its factorization.

2205234324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542216 (or 542211 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2205234324 is about 46959.9225297487. The cubic root of 2205234324 is about 1301.6221021680.

Adding to 2205234324 its reverse (4234325022), we get a palindrome (6439559346).

The spelling of 2205234324 in words is "two billion, two hundred five million, two hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 542093 1084186 1626279 2168372 3252558 4878837 6505116 9757674 19515348 61256509 122513018 183769527 245026036 367539054 551308581 735078108 1102617162 2205234324