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209274226225 = 52914932
BaseRepresentation
bin1100001011100110110…
…1110100011000110001
3202000011200101012011121
43002321231310120301
511412043200214400
6240050024542241
721056003400301
oct3027155643061
9660150335147
10209274226225
1180830932679
1234685621981
1316971844abc
14a1b3abb601
15569c76d21a
hex30b9b74631

209274226225 has 9 divisors (see below), whose sum is σ = 259502876833. Its totient is φ = 167417551120.

The previous prime is 209274226219. The next prime is 209274226229. The reversal of 209274226225 is 522622472902.

The square root of 209274226225 is 457465.

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

209274226225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53672378929 + 155601847296 = 231673^2 + 394464^2 .

It is not a de Polignac number, because 209274226225 - 229 = 208737355313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209274226229) by changing a digit.

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, 2241579 + ... + 2333071.

Almost surely, 2209274226225 is an apocalyptic number.

209274226225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

209274226225 is the 457465-th square number.

209274226225 is the 228733-rd centered octagonal number.

It is an amenable number.

209274226225 is a deficient number, since it is larger than the sum of its proper divisors (50228650608).

209274226225 is an frugal number, since it uses more digits than its factorization.

209274226225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182996 (or 91498 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 209274226225 in words is "two hundred nine billion, two hundred seventy-four million, two hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 91493 457465 2287325 8370969049 41854845245 209274226225