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2245906881 = 32157972
BaseRepresentation
bin1000010111011101…
…1101000111000001
312210112001220001100
42011313131013001
514044423010011
61010505325013
7106440615321
oct20567350701
95715056040
102245906881
11a52835099
12528196769
1329a3b59aa
141743cb281
15d2288d56
hex85ddd1c1

2245906881 has 9 divisors (see below), whose sum is σ = 3244293091. Its totient is φ = 1497176472.

The previous prime is 2245906843. The next prime is 2245906903. The reversal of 2245906881 is 1886095422.

The square root of 2245906881 is 47391.

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

2245906881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1636607025 + 609299856 = 40455^2 + 24684^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2245906881 - 217 = 2245775809 is a prime.

It is a super-2 number, since 2×22459068812 = 10088195436246296322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2245906811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 134275 + ... + 150071.

Almost surely, 22245906881 is an apocalyptic number.

2245906881 is the 47391-st square number.

2245906881 is the 23696-th centered octagonal number.

It is an amenable number.

2245906881 is a deficient number, since it is larger than the sum of its proper divisors (998386210).

2245906881 is an frugal number, since it uses more digits than its factorization.

2245906881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31600 (or 15800 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The cubic root of 2245906881 is about 1309.5756217189.

The spelling of 2245906881 in words is "two billion, two hundred forty-five million, nine hundred six thousand, eight hundred eighty-one".

Divisors: 1 3 9 15797 47391 142173 249545209 748635627 2245906881