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320656050225 = 32527253932
BaseRepresentation
bin1001010101010001001…
…01110000100000110001
31010122200001221002201100
410222220211300200301
520223200422101400
6403150215555013
732111104312200
oct4525045604061
91118601832640
10320656050225
11113a97a87595
125218b08ba69
13243123c8334
141173c601237
15851ad1a100
hex4aa8970831

320656050225 has 81 divisors (see below), whose sum is σ = 668222783553. Its totient is φ = 146558442240.

The previous prime is 320656050179. The next prime is 320656050227. The reversal of 320656050225 is 522050656023.

The square root of 320656050225 is 566265.

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

320656050225 is a `hidden beast` number, since 3 + 20 + 6 + 5 + 605 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54561017889 + 266095032336 = 233583^2 + 515844^2 .

It is not a de Polignac number, because 320656050225 - 29 = 320656049713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 320656050225.

It is not an unprimeable number, because it can be changed into a prime (320656050227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 59455129 + ... + 59460521.

Almost surely, 2320656050225 is an apocalyptic number.

320656050225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

320656050225 is the 566265-th square number.

320656050225 is the 283133-rd centered octagonal number.

It is an amenable number.

320656050225 is an abundant number, since it is smaller than the sum of its proper divisors (347566733328).

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

320656050225 is an frugal number, since it uses more digits than its factorization.

320656050225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Multiplying 320656050225 by its sum of digits (36), we get a square (11543617808100 = 33975902).

The spelling of 320656050225 in words is "three hundred twenty billion, six hundred fifty-six million, fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 5393 11025 16179 26965 37751 48537 80895 113253 134825 188755 242685 264257 339759 404475 566265 792771 943775 1213425 1321285 1698795 2378313 2831325 3963855 6606425 8493975 11891565 19819275 29084449 59457825 87253347 145422245 203591143 261760041 436266735 610773429 727111225 1017955715 1308800205 1425138001 1832320287 2181333675 3053867145 4275414003 5089778575 6544001025 7125690005 9161601435 12826242009 15269335725 21377070015 35628450025 45808007175 64131210045 106885350075 320656050225