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305026225 = 52724992
BaseRepresentation
bin10010001011100…
…101010010110001
3210020221221022121
4102023211102301
51111041314400
650133434241
710362452200
oct2213452261
9706857277
10305026225
111471a7799
128619b981
134b26a7ba
142c721237
151bba321a
hex122e54b1

305026225 has 27 divisors (see below), whose sum is σ = 440868267. Its totient is φ = 208741680.

The previous prime is 305026217. The next prime is 305026231. The reversal of 305026225 is 522620503.

The square root of 305026225 is 17465.

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

It can be written as a sum of positive squares in only one way, i.e., 109809441 + 195216784 = 10479^2 + 13972^2 .

It is not a de Polignac number, because 305026225 - 23 = 305026217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 305026225.

It is an unprimeable number.

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, 611026 + ... + 611524.

Almost surely, 2305026225 is an apocalyptic number.

305026225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

305026225 is the 17465-th square number.

305026225 is the 8733-rd centered octagonal number.

It is an amenable number.

305026225 is a deficient number, since it is larger than the sum of its proper divisors (135842042).

305026225 is an frugal number, since it uses more digits than its factorization.

305026225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The cubic root of 305026225 is about 673.1508419330.

Multiplying 305026225 by its sum of digits (25), we get a square (7625655625 = 873252).

305026225 divided by its sum of digits (25) gives a square (12201049 = 34932).

Multiplying 305026225 by its product of nonzero digits (3600), we get a square (1098094410000 = 10479002).

Adding to 305026225 its reverse (522620503), we get a palindrome (827646728).

The spelling of 305026225 in words is "three hundred five million, twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 499 1225 2495 3493 12475 17465 24451 87325 122255 249001 611275 1245005 1743007 6225025 8715035 12201049 43575175 61005245 305026225