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2378025225 = 325232512
BaseRepresentation
bin1000110110111101…
…1100100100001001
320010201200012100100
42031233130210021
514332233301400
61031545200013
7112633611102
oct21557344411
96121605310
102378025225
111010373604
12564490009
132bb893724
14187b7d3a9
15ddb85100
hex8dbdc909

2378025225 has 27 divisors (see below), whose sum is σ = 4260617959. Its totient is φ = 1267890000.

The previous prime is 2378025193. The next prime is 2378025227. The reversal of 2378025225 is 5225208732.

It is a happy number.

The square root of 2378025225 is 48765.

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

2378025225 is digitally balanced in base 2 and base 4, because in such bases 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., 856089081 + 1521936144 = 29259^2 + 39012^2 .

It is not a de Polignac number, because 2378025225 - 25 = 2378025193 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 2378025225.

It is not an unprimeable number, because it can be changed into a prime (2378025227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 729850 + ... + 733100.

Almost surely, 22378025225 is an apocalyptic number.

2378025225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2378025225 is the 48765-th square number.

2378025225 is the 24383-rd centered octagonal number.

It is an amenable number.

2378025225 is a deficient number, since it is larger than the sum of its proper divisors (1882592734).

2378025225 is an frugal number, since it uses more digits than its factorization.

2378025225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6518 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The cubic root of 2378025225 is about 1334.7670763096.

Multiplying 2378025225 by its sum of digits (36), we get a square (85608908100 = 2925902).

The spelling of 2378025225 in words is "two billion, three hundred seventy-eight million, twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3251 9753 16255 29259 48765 81275 146295 243825 731475 10569001 31707003 52845005 95121009 158535015 264225025 475605045 792675075 2378025225