Search a number
-
+
2205212401 = 72574612659
BaseRepresentation
bin1000001101110000…
…1101111011110001
312200200111101201101
42003130031323301
514004013244101
61002453204401
7105434665450
oct20334157361
95620441641
102205212401
11a3186a797
12516630701
13291b38012
1416cc36b97
15cd8eb401
hex8370def1

2205212401 has 16 divisors (see below), whose sum is σ = 2536490880. Its totient is φ = 1878036480.

The previous prime is 2205212381. The next prime is 2205212407. The reversal of 2205212401 is 1042125022.

It is a cyclic number.

It is not a de Polignac number, because 2205212401 - 25 = 2205212369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2205212407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828010 + ... + 830668.

It is an arithmetic number, because the mean of its divisors is an integer number (158530680).

Almost surely, 22205212401 is an apocalyptic number.

It is an amenable number.

2205212401 is a deficient number, since it is larger than the sum of its proper divisors (331278479).

2205212401 is a wasteful number, since it uses less digits than its factorization.

2205212401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2205212401 is about 46959.6891067222. The cubic root of 2205212401 is about 1301.6177888613.

Adding to 2205212401 its reverse (1042125022), we get a palindrome (3247337423).

It can be divided in two parts, 22052 and 12401, that added together give a triangular number (34453 = T262).

The spelling of 2205212401 in words is "two billion, two hundred five million, two hundred twelve thousand, four hundred one".

Divisors: 1 7 257 461 1799 2659 3227 18613 118477 683363 829339 1225799 4783541 8580593 315030343 2205212401