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2206086961 = 13236132
BaseRepresentation
bin1000001101111110…
…0011011100110001
312200202010211101111
42003133203130301
514004224240321
61002524033321
7105445300261
oct20337433461
95622124344
102206086961
11a32307871
12516992841
13292083100
1416cdc37a1
15cda205e1
hex837e3731

2206086961 has 9 divisors (see below), whose sum is σ = 2389501089. Its totient is φ = 2035824336.

The previous prime is 2206086919. The next prime is 2206086973. The reversal of 2206086961 is 1696806022.

It is a happy number.

The square root of 2206086961 is 46969.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1842040561 + 364046400 = 42919^2 + 19080^2 .

It is not a de Polignac number, because 2206086961 - 211 = 2206084913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2206086161) 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 8 ways as a sum of consecutive naturals, for example, 608791 + ... + 612403.

It is an arithmetic number, because the mean of its divisors is an integer number (265500121).

Almost surely, 22206086961 is an apocalyptic number.

2206086961 is the 46969-th square number.

2206086961 is the 23485-th centered octagonal number.

It is an amenable number.

2206086961 is a deficient number, since it is larger than the sum of its proper divisors (183414128).

2206086961 is an frugal number, since it uses more digits than its factorization.

2206086961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The cubic root of 2206086961 is about 1301.7898346322.

The spelling of 2206086961 in words is "two billion, two hundred six million, eighty-six thousand, nine hundred sixty-one".

Divisors: 1 13 169 3613 46969 610597 13053769 169698997 2206086961