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320848609225 = 521132872
BaseRepresentation
bin1001010101101000001…
…00010011111111001001
31010200011111021010000011
410222310010103333021
520224044220443400
6403221255111521
732115633115534
oct4526404237711
91120144233004
10320848609225
11114086747a61
12522236725a1
1324343278781
141175a007a1b
15852cba48ba
hex4ab4113fc9

320848609225 has 9 divisors (see below), whose sum is σ = 397855787367. Its totient is φ = 256676621640.

The previous prime is 320848609139. The next prime is 320848609241. The reversal of 320848609225 is 522906848023.

The square root of 320848609225 is 566435.

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., 115505499321 + 205343109904 = 339861^2 + 453148^2 .

It is not a de Polignac number, because 320848609225 - 233 = 312258674633 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 8 ways as a sum of consecutive naturals, for example, 2775532 + ... + 2888818.

Almost surely, 2320848609225 is an apocalyptic number.

320848609225 is the 566435-th square number.

320848609225 is the 283218-th centered octagonal number.

It is an amenable number.

320848609225 is a deficient number, since it is larger than the sum of its proper divisors (77007178142).

320848609225 is an frugal number, since it uses more digits than its factorization.

320848609225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226584 (or 113292 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 320848609225 by its sum of digits (49), we get a square (15721581852025 = 39650452).

The spelling of 320848609225 in words is "three hundred twenty billion, eight hundred forty-eight million, six hundred nine thousand, two hundred twenty-five".

Divisors: 1 5 25 113287 566435 2832175 12833944369 64169721845 320848609225