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2212439080329 = 32101249092
BaseRepresentation
bin100000001100011111101…
…001010011110110001001
321211111200200110021210100
4200030133221103312021
5242222033401032304
64412214103440013
7315562205615262
oct40143751236611
97744620407710
102212439080329
11783321201165
122b8951456009
1313082a9906ba
1479122a07969
153c83d505439
hex2031fa53d89

2212439080329 has 27 divisors (see below), whose sum is σ = 3228357299349. Its totient is φ = 1460058343200.

The previous prime is 2212439080309. The next prime is 2212439080343. The reversal of 2212439080329 is 9230809342122.

The square root of 2212439080329 is 1487427.

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

2212439080329 is a `hidden beast` number, since 2 + 2 + 1 + 243 + 9 + 0 + 80 + 329 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2037547840329 + 174891240000 = 1427427^2 + 418200^2 .

It is not a de Polignac number, because 2212439080329 - 241 = 13415824777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2212439080309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 450687927 + ... + 450692835.

Almost surely, 22212439080329 is an apocalyptic number.

2212439080329 is the 1487427-th square number.

2212439080329 is the 743714-th centered octagonal number.

It is an amenable number.

2212439080329 is a deficient number, since it is larger than the sum of its proper divisors (1015918219020).

2212439080329 is an frugal number, since it uses more digits than its factorization.

2212439080329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10026 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2212439080329 in words is "two trillion, two hundred twelve billion, four hundred thirty-nine million, eighty thousand, three hundred twenty-nine".

Divisors: 1 3 9 101 303 909 4909 10201 14727 30603 44181 91809 495809 1487427 4462281 24098281 50076709 72294843 150230127 216884529 450690381 2433926381 7301779143 21905337429 245826564481 737479693443 2212439080329