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226553267349 = 32211311913197
BaseRepresentation
bin1101001011111110100…
…0001000010010010101
3210122202212221102112200
43102333220020102111
512202440114023344
6252024354435113
722240125666423
oct3227750102225
9718685842480
10226553267349
118809845aa52
1237aa8292a99
13184965a82a6
14ad72876113
155d5e6b4069
hex34bfa08495

226553267349 has 12 divisors (see below), whose sum is σ = 327398507436. Its totient is φ = 150964019712.

The previous prime is 226553267341. The next prime is 226553267359. The reversal of 226553267349 is 943762355622.

226553267349 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 532 + 67 + 3 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16955946225 + 209597321124 = 130215^2 + 457818^2 .

It is not a de Polignac number, because 226553267349 - 23 = 226553267341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 226553267295 and 226553267304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226553267341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5937582 + ... + 5975615.

It is an arithmetic number, because the mean of its divisors is an integer number (27283208953).

Almost surely, 2226553267349 is an apocalyptic number.

It is an amenable number.

226553267349 is a deficient number, since it is larger than the sum of its proper divisors (100845240087).

226553267349 is a wasteful number, since it uses less digits than its factorization.

226553267349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11915316 (or 11915313 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 226553267349 in words is "two hundred twenty-six billion, five hundred fifty-three million, two hundred sixty-seven thousand, three hundred forty-nine".

Divisors: 1 3 9 2113 6339 19017 11913197 35739591 107218773 25172585261 75517755783 226553267349