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2205507681 = 321329650017
BaseRepresentation
bin1000001101110101…
…0110000001100001
312200201001101202200
42003131112001201
514004102221211
61002503403413
7105440335356
oct20335260141
95621041680
102205507681
11a31a51623
12516753569
13291c0c540
1416ccb262d
15cd958b56
hex83756061

2205507681 has 24 divisors (see below), whose sum is σ = 3549098280. Its totient is φ = 1310432256.

The previous prime is 2205507653. The next prime is 2205507749. The reversal of 2205507681 is 1867055022.

It is a happy number.

2205507681 is a `hidden beast` number, since 2 + 20 + 550 + 7 + 6 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 346518225 + 1858989456 = 18615^2 + 43116^2 .

It is not a de Polignac number, because 2205507681 - 210 = 2205506657 is a prime.

It is a super-2 number, since 2×22055076812 = 9728528261899995522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2205507481) 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 23 ways as a sum of consecutive naturals, for example, 321616 + ... + 328401.

It is an arithmetic number, because the mean of its divisors is an integer number (147879095).

Almost surely, 22205507681 is an apocalyptic number.

It is an amenable number.

2205507681 is a deficient number, since it is larger than the sum of its proper divisors (1343590599).

2205507681 is a wasteful number, since it uses less digits than its factorization.

2205507681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650065 (or 650062 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2205507681 is about 46962.8329745981. The cubic root of 2205507681 is about 1301.6758822143.

The spelling of 2205507681 in words is "two billion, two hundred five million, five hundred seven thousand, six hundred eighty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 650017 1950051 5850153 8450221 18850493 25350663 56551479 76051989 169654437 245056409 735169227 2205507681