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830859595225 = 52112165732
BaseRepresentation
bin11000001011100110001…
…01110100110111011001
32221102121000220121022221
430011303011310313121
5102103100024021400
61433405220344041
7114012322014262
oct14056305646731
92842530817287
10830859595225
112a0402643400
12115039245021
136047145c2aa
142c2dca0d969
151692c615c1a
hexc173174dd9

830859595225 has 27 divisors (see below), whose sum is σ = 1132509363069. Its totient is φ = 604225063200.

The previous prime is 830859595213. The next prime is 830859595231. The reversal of 830859595225 is 522595958038.

The square root of 830859595225 is 911515.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1623525849 + 829236069376 = 40293^2 + 910624^2 .

It is not a de Polignac number, because 830859595225 - 223 = 830851206617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50125039 + ... + 50141611.

Almost surely, 2830859595225 is an apocalyptic number.

830859595225 is the 911515-th square number.

830859595225 is the 455758-th centered octagonal number.

It is an amenable number.

830859595225 is a deficient number, since it is larger than the sum of its proper divisors (301649767844).

830859595225 is an frugal number, since it uses more digits than its factorization.

830859595225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33178 (or 16589 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 61.

The spelling of 830859595225 in words is "eight hundred thirty billion, eight hundred fifty-nine million, five hundred ninety-five thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 16573 82865 182303 414325 911515 2005333 4557575 10026665 50133325 274664329 1373321645 3021307619 6866608225 15106538095 33234383809 75532690475 166171919045 830859595225