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580022220085 = 5721123611311171
BaseRepresentation
bin10000111000011000000…
…01001011010100110101
32001110010202010200110121
420130030001023110311
534000341142020320
61122243013051541
756622330344500
oct10341401132465
92043122120417
10580022220085
11203a93470890
12944b4326bb1
1342907a62669
1420104d04137
151014b0408aa
hex870c04b535

580022220085 has 192 divisors, whose sum is σ = 944738961408. Its totient is φ = 337296960000.

The previous prime is 580022220083. The next prime is 580022220109.

580022220085 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 580022220085 - 21 = 580022220083 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 580022220085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580022220083) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 495321550 + ... + 495322720.

It is an arithmetic number, because the mean of its divisors is an integer number (4920515424).

Almost surely, 2580022220085 is an apocalyptic number.

580022220085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

580022220085 is a deficient number, since it is larger than the sum of its proper divisors (364716741323).

580022220085 is a wasteful number, since it uses less digits than its factorization.

580022220085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The spelling of 580022220085 in words is "five hundred eighty billion, twenty-two million, two hundred twenty thousand, eighty-five".