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226547432217 = 3238593652241
BaseRepresentation
bin1101001011111101000…
…1110111101100011001
3210122202110221222020200
43102333101313230121
512202432120312332
6252024025412413
722240025254401
oct3227721675431
9718673858220
10226547432217
1188095134a27
1237aa633a109
1318495314352
14ad71b97801
155d5de1017c
hex34bf477b19

226547432217 has 12 divisors (see below), whose sum is σ = 327244160724. Its totient is φ = 151027476480.

The previous prime is 226547432203. The next prime is 226547432219. The reversal of 226547432217 is 712234745622.

It can be written as a sum of positive squares in 2 ways, for example, as 59024216601 + 167523215616 = 242949^2 + 409296^2 .

It is not a de Polignac number, because 226547432217 - 216 = 226547366681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226547432219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21217 + ... + 673457.

It is an arithmetic number, because the mean of its divisors is an integer number (27270346727).

Almost surely, 2226547432217 is an apocalyptic number.

It is an amenable number.

226547432217 is a deficient number, since it is larger than the sum of its proper divisors (100696728507).

226547432217 is a wasteful number, since it uses less digits than its factorization.

226547432217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690840 (or 690837 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 226547432217 in words is "two hundred twenty-six billion, five hundred forty-seven million, four hundred thirty-two thousand, two hundred seventeen".

Divisors: 1 3 9 38593 115779 347337 652241 1956723 5870169 25171936913 75515810739 226547432217