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322080085441 = 59296192
BaseRepresentation
bin1001010111111010111…
…10000001010111000001
31010210100022111120210101
410223331132001113001
520234110000213231
6403543410002401
732161305361312
oct4537536012701
91123308446711
10322080085441
111146588a22a4
1252507b76401
13244ab440b1a
14118357ac609
1585a0d5b661
hex4afd7815c1

322080085441 has 9 divisors (see below), whose sum is σ = 327665659521. Its totient is φ = 316588184724.

The previous prime is 322080085429. The next prime is 322080085451. The reversal of 322080085441 is 144580080223.

It is a happy number.

The square root of 322080085441 is 567521.

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

It is not a de Polignac number, because 322080085441 - 211 = 322080083393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 322080085441.

It is not an unprimeable number, because it can be changed into a prime (322080085451) 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, 33478930 + ... + 33488548.

Almost surely, 2322080085441 is an apocalyptic number.

322080085441 is the 567521-st square number.

322080085441 is the 283761-st centered octagonal number.

It is an amenable number.

322080085441 is a deficient number, since it is larger than the sum of its proper divisors (5585574080).

322080085441 is an frugal number, since it uses more digits than its factorization.

322080085441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19356 (or 9678 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 322080085441 in words is "three hundred twenty-two billion, eighty million, eighty-five thousand, four hundred forty-one".

Divisors: 1 59 3481 9619 567521 33483739 92525161 5458984499 322080085441