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3122015625 = 32561492
BaseRepresentation
bin1011101000010110…
…0010110110001001
322001120121211022100
42322011202312021
522343214000000
61233443344013
7140236460241
oct27205426611
98046554270
103122015625
111362329603
12731682009
133a9a65a31
142188c8b21
15134146a00
hexba162d89

3122015625 has 63 divisors (see below), whose sum is σ = 5674985953. Its totient is φ = 1653900000.

The previous prime is 3122015623. The next prime is 3122015629. The reversal of 3122015625 is 5265102213.

It is a happy number.

The square root of 3122015625 is 55875.

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

3122015625 is a `hidden beast` number, since 3 + 1 + 2 + 20 + 15 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1323577161 + 1798438464 = 36381^2 + 42408^2 .

It is not a de Polignac number, because 3122015625 - 21 = 3122015623 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3122015623) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 20953051 + ... + 20953199.

Almost surely, 23122015625 is an apocalyptic number.

3122015625 is the 55875-th square number.

3122015625 is the 27938-th centered octagonal number.

It is an amenable number.

3122015625 is a deficient number, since it is larger than the sum of its proper divisors (2552970328).

3122015625 is an frugal number, since it uses more digits than its factorization.

3122015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 3122015625 is about 1461.5433147168.

Multiplying 3122015625 by its product of nonzero digits (3600), we get a square (11239256250000 = 33525002).

Adding to 3122015625 its reverse (5265102213), we get a palindrome (8387117838).

The spelling of 3122015625 in words is "three billion, one hundred twenty-two million, fifteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 149 225 375 447 625 745 1125 1341 1875 2235 3125 3725 5625 6705 9375 11175 15625 18625 22201 28125 33525 46875 55875 66603 93125 111005 140625 167625 199809 279375 333015 465625 555025 838125 999045 1396875 1665075 2328125 2775125 4190625 4995225 6984375 8325375 13875625 20953125 24976125 41626875 69378125 124880625 208134375 346890625 624403125 1040671875 3122015625