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309397375225 = 5253220992
BaseRepresentation
bin1001000000010011000…
…01010100100011111001
31002120121102202011002101
410200021201110203321
520032121212001400
6354045111303401
731232104203631
oct4401141244371
91076542664071
10309397375225
1110a23a830404
124bb6867ab61
1323239a11873
1410d912376c1
1580ac6d156a
hex48098548f9

309397375225 has 27 divisors (see below), whose sum is σ = 391214437453. Its totient is φ = 242732054240.

The previous prime is 309397375213. The next prime is 309397375229. The reversal of 309397375225 is 522573793903.

The square root of 309397375225 is 556235.

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 2330668729 + 307066706496 = 48277^2 + 554136^2 .

It is not a de Polignac number, because 309397375225 - 213 = 309397367033 is a prime.

It is a super-2 number, since 2×3093973752252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (309397375229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 147401226 + ... + 147403324.

Almost surely, 2309397375225 is an apocalyptic number.

309397375225 is the 556235-th square number.

309397375225 is the 278118-th centered octagonal number.

It is an amenable number.

309397375225 is a deficient number, since it is larger than the sum of its proper divisors (81817062228).

309397375225 is an frugal number, since it uses more digits than its factorization.

309397375225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 10716300, while the sum is 55.

The spelling of 309397375225 in words is "three hundred nine billion, three hundred ninety-seven million, three hundred seventy-five thousand, two hundred twenty-five".

Divisors: 1 5 25 53 265 1325 2099 2809 10495 14045 52475 70225 111247 556235 2781175 4405801 5896091 22029005 29480455 110145025 147402275 233507453 1167537265 5837686325 12375895009 61879475045 309397375225