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2205342100 = 2252131696417
BaseRepresentation
bin1000001101110010…
…1101100110010100
312200200201222122001
42003130231212110
514004031421400
61002500045044
7105436045543
oct20334554624
95620658561
102205342100
11a31949185
12516693784
13291b82070
1416cc6c15a
15cd924a6a
hex8372d994

2205342100 has 36 divisors (see below), whose sum is σ = 5153717884. Its totient is φ = 814279680.

The previous prime is 2205342049. The next prime is 2205342101. The reversal of 2205342100 is 12435022.

It can be written as a sum of positive squares in 6 ways, for example, as 247810564 + 1957531536 = 15742^2 + 44244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205342101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 846909 + ... + 849508.

Almost surely, 22205342100 is an apocalyptic number.

2205342100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205342100 is an abundant number, since it is smaller than the sum of its proper divisors (2948375784).

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

2205342100 is a wasteful number, since it uses less digits than its factorization.

2205342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696444 (or 1696437 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2205342100 is about 46961.0700474340. The cubic root of 2205342100 is about 1301.6433064661.

Adding to 2205342100 its reverse (12435022), we get a palindrome (2217777122).

The spelling of 2205342100 in words is "two billion, two hundred five million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1696417 3392834 6785668 8482085 16964170 22053421 33928340 42410425 44106842 84820850 88213684 110267105 169641700 220534210 441068420 551335525 1102671050 2205342100