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2216047716 = 2232173620993
BaseRepresentation
bin1000010000010110…
…0011010001100100
312201102212212222100
42010011203101210
514014302011331
61003521332100
7105626044341
oct20405432144
95642785870
102216047716
11a379a04a3
1251a197030
1329415cb4c
141704577c8
15ce83bae6
hex84163464

2216047716 has 36 divisors (see below), whose sum is σ = 5931188172. Its totient is φ = 695230464.

The previous prime is 2216047703. The next prime is 2216047721. The reversal of 2216047716 is 6177406122.

2216047716 is a `hidden beast` number, since 22 + 160 + 477 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 722534400 + 1493513316 = 26880^2 + 38646^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1809885 + ... + 1811108.

It is an arithmetic number, because the mean of its divisors is an integer number (164755227).

Almost surely, 22216047716 is an apocalyptic number.

It is an amenable number.

2216047716 is an abundant number, since it is smaller than the sum of its proper divisors (3715140456).

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

2216047716 is a wasteful number, since it uses less digits than its factorization.

2216047716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621020 (or 3621015 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2216047716 is about 47074.9159956765. The cubic root of 2216047716 is about 1303.7461405344.

The spelling of 2216047716 in words is "two billion, two hundred sixteen million, forty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3620993 7241986 10862979 14483972 21725958 32588937 43451916 61556881 65177874 123113762 130355748 184670643 246227524 369341286 554011929 738682572 1108023858 2216047716