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2109105625 = 541121672
BaseRepresentation
bin111110110110110…
…0110010111011001
312102222122200000011
41331231212113121
513304412340000
6545141241521
7103160046664
oct17555462731
95388580004
102109105625
11992598300
124aa4032a1
13277c585c3
1416017a6db
15c52652ba
hex7db665d9

2109105625 has 45 divisors (see below), whose sum is σ = 2914364761. Its totient is φ = 1524710000.

The previous prime is 2109105617. The next prime is 2109105703. The reversal of 2109105625 is 5265019012.

The square root of 2109105625 is 45925.

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

It can be written as a sum of positive squares in 2 ways, for example, as 165353881 + 1943751744 = 12859^2 + 44088^2 .

It is not a de Polignac number, because 2109105625 - 23 = 2109105617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12629292 + ... + 12629458.

Almost surely, 22109105625 is an apocalyptic number.

2109105625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2109105625 is the 45925-th square number.

2109105625 is the 22963-rd centered octagonal number.

It is an amenable number.

2109105625 is a deficient number, since it is larger than the sum of its proper divisors (805259136).

2109105625 is an frugal number, since it uses more digits than its factorization.

2109105625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The cubic root of 2109105625 is about 1282.4273651181.

The spelling of 2109105625 in words is "two billion, one hundred nine million, one hundred five thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 167 275 605 625 835 1375 1837 3025 4175 6875 9185 15125 20207 20875 27889 45925 75625 101035 104375 139445 229625 306779 505175 697225 1148125 1533895 2525875 3374569 3486125 7669475 12629375 16872845 17430625 38347375 84364225 191736875 421821125 2109105625