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2205011232 = 253227672
BaseRepresentation
bin1000001101101101…
…1100110100100000
312200200010011202200
42003123130310200
514003440324412
61002445013200
7105433200114
oct20333346440
95620104680
102205011232
11a31742636
12516554200
13291a97598
1416cbc3744
15cd8ab9dc
hex836dcd20

2205011232 has 54 divisors (see below), whose sum is σ = 6272767683. Its totient is φ = 734738112.

The previous prime is 2205011227. The next prime is 2205011239. The reversal of 2205011232 is 2321105022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1102505616 + 1102505616 = 33204^2 + 33204^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33204.

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

It is not an unprimeable number, because it can be changed into a prime (2205011239) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 795513 + ... + 798279.

Almost surely, 22205011232 is an apocalyptic number.

It is an amenable number.

2205011232 is an abundant number, since it is smaller than the sum of its proper divisors (4067756451).

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

2205011232 is an frugal number, since it uses more digits than its factorization.

2205011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2205011232 is about 46957.5471250362. The cubic root of 2205011232 is about 1301.5782079255.

Multiplying 2205011232 by its sum of digits (18), we get a square (39690202176 = 1992242).

2205011232 divided by its sum of digits (18) gives a square (122500624 = 110682).

Adding to 2205011232 its reverse (2321105022), we get a palindrome (4526116254).

The spelling of 2205011232 in words is "two billion, two hundred five million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2767 5534 8301 11068 16602 22136 24903 33204 44272 49806 66408 88544 99612 132816 199224 265632 398448 796896 7656289 15312578 22968867 30625156 45937734 61250312 68906601 91875468 122500624 137813202 183750936 245001248 275626404 367501872 551252808 735003744 1102505616 2205011232