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3006270225 = 3252717112279
BaseRepresentation
bin1011001100110000…
…0000101100010001
321202111211100110200
42303030000230101
522124101121400
61214150445413
7134332606140
oct26314005421
97674740420
103006270225
111302a63352
126ba963869
1338ba9b52a
14207399757
15128dd1b00
hexb3300b11

3006270225 has 72 divisors (see below), whose sum is σ = 6515832960. Its totient is φ = 1293442560.

The previous prime is 3006270221. The next prime is 3006270227. The reversal of 3006270225 is 5220726003.

3006270225 is a `hidden beast` number, since 30 + 0 + 627 + 0 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 3006270225 - 22 = 3006270221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3006270221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29365 + ... + 82914.

It is an arithmetic number, because the mean of its divisors is an integer number (90497680).

Almost surely, 23006270225 is an apocalyptic number.

3006270225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3006270225 is an abundant number, since it is smaller than the sum of its proper divisors (3509562735).

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

3006270225 is a wasteful number, since it uses less digits than its factorization.

3006270225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112319 (or 112311 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3006270225 is about 54829.4649344675. The cubic root of 3006270225 is about 1443.2536743380.

Adding to 3006270225 its reverse (5220726003), we get a palindrome (8226996228).

The spelling of 3006270225 in words is "three billion, six million, two hundred seventy thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 315 357 425 525 595 765 1071 1275 1575 1785 2975 3825 5355 8925 26775 112279 336837 561395 785953 1010511 1684185 1908743 2357859 2806975 3929765 5052555 5726229 7073577 8420925 9543715 11789295 13361201 17178687 19648825 25262775 28631145 35367885 40083603 47718575 58946475 66806005 85893435 120250809 143155725 176839425 200418015 334030025 429467175 601254045 1002090075 3006270225