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328885045225 = 52112104272
BaseRepresentation
bin1001100100100110001…
…00111000011111101001
31011102220120020100200221
410302103010320133221
520342024032421400
6411030535530041
732522035521232
oct4622304703751
91142816210627
10328885045225
11117530041300
12538a6b29921
1325024208149
1411cbd478089
15884d49ac1a
hex4c931387e9

328885045225 has 27 divisors (see below), whose sum is σ = 448305157111. Its totient is φ = 239166184400.

The previous prime is 328885045211. The next prime is 328885045231. The reversal of 328885045225 is 522540588823.

The square root of 328885045225 is 573485.

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., 118398616281 + 210486428944 = 344091^2 + 458788^2 .

It is not a de Polignac number, because 328885045225 - 211 = 328885043177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31536462 + ... + 31546888.

Almost surely, 2328885045225 is an apocalyptic number.

328885045225 is the 573485-th square number.

328885045225 is the 286743-rd centered octagonal number.

It is an amenable number.

328885045225 is a deficient number, since it is larger than the sum of its proper divisors (119420111886).

328885045225 is an frugal number, since it uses more digits than its factorization.

328885045225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20886 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 52.

The spelling of 328885045225 in words is "three hundred twenty-eight billion, eight hundred eighty-five million, forty-five thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 10427 52135 114697 260675 573485 1261667 2867425 6308335 31541675 108722329 543611645 1195945619 2718058225 5979728095 13155401809 29898640475 65777009045 328885045225