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2302560225 = 3252724572
BaseRepresentation
bin1000100100111110…
…0100011111100001
312221110200011211100
42021033210133201
514203423411400
61020251505013
7111026303400
oct21117443741
95843604740
102302560225
11a8180a639
12543158169
132a9060594
1417bb37637
15d722a100
hex893e47e1

2302560225 has 81 divisors (see below), whose sum is σ = 4807991097. Its totient is φ = 1050295680.

The previous prime is 2302560191. The next prime is 2302560269. The reversal of 2302560225 is 5220652032.

The square root of 2302560225 is 47985.

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

2302560225 is a `hidden beast` number, since 2 + 30 + 2 + 5 + 602 + 25 = 666.

2302560225 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 4 ways, for example, as 160351569 + 2142208656 = 12663^2 + 46284^2 .

It is not a de Polignac number, because 2302560225 - 27 = 2302560097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5038197 + ... + 5038653.

Almost surely, 22302560225 is an apocalyptic number.

2302560225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2302560225 is the 47985-th square number.

2302560225 is the 23993-rd centered octagonal number.

It is an amenable number.

2302560225 is an abundant number, since it is smaller than the sum of its proper divisors (2505430872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2302560225 is an equidigital number, since it uses as much as digits as its factorization.

2302560225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The cubic root of 2302560225 is about 1320.4957246205.

The spelling of 2302560225 in words is "two billion, three hundred two million, five hundred sixty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 457 525 735 1225 1371 1575 2205 2285 3199 3675 4113 6855 9597 11025 11425 15995 20565 22393 28791 34275 47985 67179 79975 102825 111965 143955 201537 208849 239925 335895 559825 626547 719775 1007685 1044245 1461943 1679475 1879641 3132735 4385829 5038425 5221225 7309715 9398205 10233601 13157487 15663675 21929145 30700803 36548575 46991025 51168005 65787435 92102409 109645725 153504015 255840025 328937175 460512045 767520075 2302560225