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2173890625 = 563732
BaseRepresentation
bin1000000110010010…
…1111000001000001
312121111120002022121
42001210233001001
513423004000000
6555414004241
7104604523354
oct20144570101
95544502277
102173890625
11a16117225
12508046681
132884bc51a
14168a0229b
15cacb0b1a
hex8192f041

2173890625 has 21 divisors (see below), whose sum is σ = 2724633093. Its totient is φ = 1734450000.

The previous prime is 2173890619. The next prime is 2173890647. The reversal of 2173890625 is 5260983712.

The square root of 2173890625 is 46625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 1871687169 + 302203456 = 43263^2 + 17384^2 .

It is not a de Polignac number, because 2173890625 - 23 = 2173890617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5827939 + ... + 5828311.

It is an arithmetic number, because the mean of its divisors is an integer number (129744433).

Almost surely, 22173890625 is an apocalyptic number.

2173890625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2173890625 is the 46625-th square number.

2173890625 is the 23313-rd centered octagonal number.

It is an amenable number.

2173890625 is a deficient number, since it is larger than the sum of its proper divisors (550742468).

2173890625 is an frugal number, since it uses more digits than its factorization.

2173890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The cubic root of 2173890625 is about 1295.4258623344.

The spelling of 2173890625 in words is "two billion, one hundred seventy-three million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 125 373 625 1865 3125 9325 15625 46625 139129 233125 695645 1165625 3478225 5828125 17391125 86955625 434778125 2173890625