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2898207225 = 3252372972
BaseRepresentation
bin1010110010111111…
…0010000111111001
321110222111011220100
42230233302013321
521413420112400
61155330350013
7131551232514
oct25457620771
97428434810
102898207225
111257a64a91
1268a72b309
13372593a24
141d6ca9d7b
1511e688100
hexacbf21f9

2898207225 has 81 divisors (see below), whose sum is σ = 5390668647. Its totient is φ = 1488430080.

The previous prime is 2898207217. The next prime is 2898207227. The reversal of 2898207225 is 5227028982.

The square root of 2898207225 is 53835.

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 723663801 + 2174543424 = 26901^2 + 46632^2 .

It is not a de Polignac number, because 2898207225 - 23 = 2898207217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2898207227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29878377 + ... + 29878473.

Almost surely, 22898207225 is an apocalyptic number.

2898207225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2898207225 is the 53835-th square number.

2898207225 is the 26918-th centered octagonal number.

It is an amenable number.

2898207225 is a deficient number, since it is larger than the sum of its proper divisors (2492461422).

2898207225 is an equidigital number, since it uses as much as digits as its factorization.

2898207225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The cubic root of 2898207225 is about 1425.7492274289.

The spelling of 2898207225 in words is "two billion, eight hundred ninety-eight million, two hundred seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 97 111 185 225 291 333 485 555 873 925 1369 1455 1665 2425 2775 3589 4107 4365 6845 7275 8325 9409 10767 12321 17945 20535 21825 28227 32301 34225 47045 53835 61605 84681 89725 102675 132793 141135 161505 235225 269175 308025 348133 398379 423405 663965 705675 807525 1044399 1195137 1740665 1991895 2117025 3133197 3319825 5221995 5975685 8703325 9959475 12880921 15665985 26109975 29878425 38642763 64404605 78329925 115928289 193213815 322023025 579641445 966069075 2898207225