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221331319332 = 22318444276611
BaseRepresentation
bin1100111000100001011…
…1111110101000100100
3210011021221220222112120
43032020113332220210
512111241304204312
6245402254145540
721663540113244
oct3161027765044
9704257828476
10221331319332
118595883a132
1236a8b4b22b0
1317b43779416
14a9d911bb24
155b5601a28c
hex33885fea24

221331319332 has 12 divisors (see below), whose sum is σ = 516439745136. Its totient is φ = 73777106440.

The previous prime is 221331319331. The next prime is 221331319381. The reversal of 221331319332 is 233913133122.

221331319332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 221331319293 and 221331319302.

It is not an unprimeable number, because it can be changed into a prime (221331319331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9222138294 + ... + 9222138317.

It is an arithmetic number, because the mean of its divisors is an integer number (43036645428).

Almost surely, 2221331319332 is an apocalyptic number.

It is an amenable number.

221331319332 is an abundant number, since it is smaller than the sum of its proper divisors (295108425804).

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

221331319332 is a wasteful number, since it uses less digits than its factorization.

221331319332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18444276618 (or 18444276616 counting only the distinct ones).

The product of its digits is 17496, while the sum is 33.

The spelling of 221331319332 in words is "two hundred twenty-one billion, three hundred thirty-one million, three hundred nineteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 18444276611 36888553222 55332829833 73777106444 110665659666 221331319332