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8332220961 = 32304272
BaseRepresentation
bin1111100001010001…
…11001101000100001
3210111200112200101100
413300220321220201
5114031022032321
63454444225013
7413323465251
oct76050715041
923450480340
108332220961
113596359a29
12174653b169
13a2a312a7c
14590867961
1533b771326
hex1f0a39a21

8332220961 has 9 divisors (see below), whose sum is σ = 12035825841. Its totient is φ = 5554631412.

The previous prime is 8332220933. The next prime is 8332220977. The reversal of 8332220961 is 1690222338.

The square root of 8332220961 is 91281.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8332220961 - 211 = 8332218913 is a prime.

It is a super-2 number, since 2×83322209612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8332220161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 258630 + ... + 289056.

Almost surely, 28332220961 is an apocalyptic number.

8332220961 is the 91281-st square number.

8332220961 is the 45641-st centered octagonal number.

It is an amenable number.

8332220961 is a deficient number, since it is larger than the sum of its proper divisors (3703604880).

8332220961 is an frugal number, since it uses more digits than its factorization.

8332220961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60860 (or 30430 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 8332220961 is about 2027.3104522007.

Multiplying 8332220961 by its sum of digits (36), we get a square (299959954596 = 5476862).

The spelling of 8332220961 in words is "eight billion, three hundred thirty-two million, two hundred twenty thousand, nine hundred sixty-one".

Divisors: 1 3 9 30427 91281 273843 925802329 2777406987 8332220961