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211227564025 = 5217254072
BaseRepresentation
bin1100010010111000100…
…1001101011111111001
3202012012210221000220001
43010232021031133321
511430043224022100
6241011523433001
721155262445552
oct3045611153771
9665183830801
10211227564025
11816434a9235
1234b2b825761
1316bc343209a
14a31b2ab329
155763eb4d6a
hex312e24d7f9

211227564025 has 27 divisors (see below), whose sum is σ = 278287139469. Its totient is φ = 159012516480.

The previous prime is 211227564017. The next prime is 211227564089. The reversal of 211227564025 is 520465722112.

The square root of 211227564025 is 459595.

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 4940824681 + 206286739344 = 70291^2 + 454188^2 .

It is not a de Polignac number, because 211227564025 - 23 = 211227564017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39062872 + ... + 39068278.

Almost surely, 2211227564025 is an apocalyptic number.

211227564025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

211227564025 is the 459595-th square number.

211227564025 is the 229798-th centered octagonal number.

It is an amenable number.

211227564025 is a deficient number, since it is larger than the sum of its proper divisors (67059575444).

211227564025 is an frugal number, since it uses more digits than its factorization.

211227564025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10858 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 211227564025 in words is "two hundred eleven billion, two hundred twenty-seven million, five hundred sixty-four thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 5407 7225 27035 91919 135175 459595 1562623 2297975 7813115 29235649 39065575 146178245 497006033 730891225 2485030165 8449102561 12425150825 42245512805 211227564025