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2225067225 = 352713831091
BaseRepresentation
bin1000010010011111…
…1101010011011001
312202001212010102020
42010213331103121
514024104122400
61004442525053
7106065521313
oct20447752331
95661763366
102225067225
11a41aa0a37
12521206789
13295c9a334
141717247b3
15d051e2a0
hex849fd4d9

2225067225 has 48 divisors (see below), whose sum is σ = 3743760384. Its totient is φ = 1165864000.

The previous prime is 2225067223. The next prime is 2225067283. The reversal of 2225067225 is 5227605222.

It is not a de Polignac number, because 2225067225 - 21 = 2225067223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2225067223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2038930 + ... + 2040020.

It is an arithmetic number, because the mean of its divisors is an integer number (77995008).

Almost surely, 22225067225 is an apocalyptic number.

2225067225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2225067225 is a deficient number, since it is larger than the sum of its proper divisors (1518693159).

2225067225 is a wasteful number, since it uses less digits than its factorization.

2225067225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2225067225 is about 47170.6182384755. The cubic root of 2225067225 is about 1305.5125333710.

The spelling of 2225067225 in words is "two billion, two hundred twenty-five million, sixty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 71 75 213 355 383 1065 1091 1149 1775 1915 3273 5325 5455 5745 9575 16365 27193 27275 28725 77461 81579 81825 135965 232383 387305 407895 417853 679825 1161915 1253559 1936525 2039475 2089265 5809575 6267795 10446325 29667563 31338975 89002689 148337815 445013445 741689075 2225067225