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3377353225 = 525921972
BaseRepresentation
bin1100100101001110…
…0101001000001001
322201101002022122111
43021103211020021
523404100300400
61315044222321
7146460012601
oct31123451011
98641068574
103377353225
111483478514
127a309a9a1
1341a926a7c
14240793c01
1514b7823ba
hexc94e5209

3377353225 has 27 divisors (see below), whose sum is σ = 4281837397. Its totient is φ = 2642605280.

The previous prime is 3377353223. The next prime is 3377353261. The reversal of 3377353225 is 5223537733.

It is a happy number.

The square root of 3377353225 is 58115.

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

It can be written as a sum of positive squares in 4 ways, for example, as 778800649 + 2598552576 = 27907^2 + 50976^2 .

It is not a de Polignac number, because 3377353225 - 21 = 3377353223 is a prime.

It is a super-2 number, since 2×33773532252 = 22813029612835801250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3377353223) by changing a digit.

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, 17143827 + ... + 17144023.

Almost surely, 23377353225 is an apocalyptic number.

3377353225 is the 58115-th square number.

3377353225 is the 29058-th centered octagonal number.

It is an amenable number.

3377353225 is a deficient number, since it is larger than the sum of its proper divisors (904484172).

3377353225 is an frugal number, since it uses more digits than its factorization.

3377353225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 261 counting only the distinct ones).

The product of its digits is 396900, while the sum is 40.

The cubic root of 3377353225 is about 1500.3485449306.

The spelling of 3377353225 in words is "three billion, three hundred seventy-seven million, three hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 59 197 295 985 1475 3481 4925 11623 17405 38809 58115 87025 194045 290575 685757 970225 2289731 3428785 11448655 17143925 57243275 135094129 675470645 3377353225