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225912941809 = 1727323832
BaseRepresentation
bin1101001001100101110…
…1011110110011110001
3210121010021001112000221
43102121131132303301
512200132203114214
6251441042213041
722215222215212
oct3223135366361
9717107045027
10225912941809
1187899a69995
1237949954181
13183c3a30939
14ad117d3409
155d2337ce24
hex349975ecf1

225912941809 has 27 divisors (see below), whose sum is σ = 243953073633. Its totient is φ = 209163739392.

The previous prime is 225912941797. The next prime is 225912941831. The reversal of 225912941809 is 908149219522.

It is a happy number.

The square root of 225912941809 is 475303.

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 28528223409 + 197384718400 = 168903^2 + 444280^2 .

It is not a de Polignac number, because 225912941809 - 233 = 217323007217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225912941879) 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, 589850832 + ... + 589851214.

Almost surely, 2225912941809 is an apocalyptic number.

225912941809 is the 475303-rd square number.

225912941809 is the 237652-nd centered octagonal number.

It is an amenable number.

225912941809 is a deficient number, since it is larger than the sum of its proper divisors (18040131824).

225912941809 is an frugal number, since it uses more digits than its factorization.

225912941809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The spelling of 225912941809 in words is "two hundred twenty-five billion, nine hundred twelve million, nine hundred forty-one thousand, eight hundred nine".

Divisors: 1 17 73 289 383 1241 5329 6511 21097 27959 90593 110687 146689 475303 1540081 2041007 2493713 8080151 10708297 34697119 42393121 182041049 589851023 781705681 3094697833 13288996577 225912941809