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2387788225 = 522923372
BaseRepresentation
bin1000111001010010…
…1100000111000001
320011102001012122221
42032110230013001
514342233210400
61032534331041
7113112602464
oct21624540701
96142035587
102387788225
1110159316a9
125677b9a81
132c0901454
141891a12db
15de962c1a
hex8e52c1c1

2387788225 has 27 divisors (see below), whose sum is σ = 3075602907. Its totient is φ = 1838887680.

The previous prime is 2387788223. The next prime is 2387788241. The reversal of 2387788225 is 5228877832.

The square root of 2387788225 is 48865.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1975535809 + 412252416 = 44447^2 + 20304^2 .

It is not a de Polignac number, because 2387788225 - 21 = 2387788223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2387788223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7085257 + ... + 7085593.

Almost surely, 22387788225 is an apocalyptic number.

2387788225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2387788225 is the 48865-th square number.

2387788225 is the 24433-rd centered octagonal number.

It is an amenable number.

2387788225 is a deficient number, since it is larger than the sum of its proper divisors (687814682).

2387788225 is an frugal number, since it uses more digits than its factorization.

2387788225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 52.

The cubic root of 2387788225 is about 1336.5912142519.

The spelling of 2387788225 in words is "two billion, three hundred eighty-seven million, seven hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 337 725 841 1685 4205 8425 9773 21025 48865 113569 244325 283417 567845 1417085 2839225 3293501 7085425 16467505 82337525 95511529 477557645 2387788225