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2215490761 = 1143892
BaseRepresentation
bin1000010000001101…
…1011010011001001
312201101211120222101
42010003123103021
514014131201021
61003501353401
7105621234511
oct20403332311
95641746871
102215490761
11a37650000
12519b68861
13293cc64a3
14170350841
15ce77ba91
hex840db4c9

2215490761 has 15 divisors (see below), whose sum is σ = 2443305655. Its totient is φ = 2008904920.

The previous prime is 2215490749. The next prime is 2215490803. The reversal of 2215490761 is 1670945122.

The square root of 2215490761 is 47069.

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

It can be written as a sum of positive squares in only one way, i.e., 522991161 + 1692499600 = 22869^2 + 41140^2 .

It is not a de Polignac number, because 2215490761 - 27 = 2215490633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2215490761.

It is not an unprimeable number, because it can be changed into a prime (2215490701) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 5695155 + ... + 5695543.

Almost surely, 22215490761 is an apocalyptic number.

2215490761 is the 47069-th square number.

2215490761 is the 23535-th centered octagonal number.

It is an amenable number.

2215490761 is a deficient number, since it is larger than the sum of its proper divisors (227814894).

2215490761 is an frugal number, since it uses more digits than its factorization.

2215490761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The cubic root of 2215490761 is about 1303.6369087149.

The spelling of 2215490761 in words is "two billion, two hundred fifteen million, four hundred ninety thousand, seven hundred sixty-one".

Divisors: 1 11 121 389 1331 4279 14641 47069 151321 517759 1664531 5695349 18309841 201408251 2215490761