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3331021225 = 5272172972
BaseRepresentation
bin1100011010001011…
…0101100110101001
322121010220102002111
43012202311212221
523310220134400
61310311202321
7145355133100
oct30642654651
98533812074
103331021225
11145a302604
1278b6763a1
1341115409c
14238573037
1514767e3ba
hexc68b59a9

3331021225 has 81 divisors (see below), whose sum is σ = 5157252783. Its totient is φ = 2127605760.

The previous prime is 3331021201. The next prime is 3331021249. The reversal of 3331021225 is 5221201333.

The square root of 3331021225 is 57715.

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

3331021225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3331021201) and next prime (3331021249).

It can be written as a sum of positive squares in 13 ways, for example, as 1326489241 + 2004531984 = 36421^2 + 44772^2 .

It is not a de Polignac number, because 3331021225 - 221 = 3328924073 is a prime.

It is a super-2 number, since 2×33310212252 = 22191404802801001250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3331021196 and 3331021205.

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, 34340377 + ... + 34340473.

Almost surely, 23331021225 is an apocalyptic number.

3331021225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3331021225 is the 57715-th square number.

3331021225 is the 28858-th centered octagonal number.

It is an amenable number.

3331021225 is a deficient number, since it is larger than the sum of its proper divisors (1826231558).

3331021225 is an equidigital number, since it uses as much as digits as its factorization.

3331021225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The cubic root of 3331021225 is about 1493.4561191900.

Adding to 3331021225 its reverse (5221201333), we get a palindrome (8552222558).

The spelling of 3331021225 in words is "three billion, three hundred thirty-one million, twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 97 119 175 245 289 425 485 595 679 833 1225 1445 1649 2023 2425 2975 3395 4165 4753 7225 8245 9409 10115 11543 14161 16975 20825 23765 28033 41225 47045 50575 57715 65863 70805 80801 118825 140165 159953 196231 235225 288575 329315 354025 404005 461041 700825 799765 981155 1119671 1373617 1646575 2020025 2305205 2719201 3998825 4905775 5598355 6868085 7837697 11526025 13596005 19034407 27991775 34340425 39188485 67980025 95172035 133240849 195942425 475860175 666204245 3331021225