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226452736269 = 32293661129917
BaseRepresentation
bin1101001011100110100…
…0101000100100001101
3210122111212202220211100
43102321220220210031
512202233400030034
6252010404013313
722234465333044
oct3227150504415
9718455686740
10226452736269
1188046736511
1237a7a691239
131847b809b46
14ad6338755b
155d55957099
hex34b9a2890d

226452736269 has 24 divisors (see below), whose sum is σ = 328713846552. Its totient is φ = 150224469120.

The previous prime is 226452736267. The next prime is 226452736283. The reversal of 226452736269 is 962637254622.

226452736269 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 5 + 2 + 7 + 3 + 626 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146411839044 + 80040897225 = 382638^2 + 282915^2 .

It is not a de Polignac number, because 226452736269 - 21 = 226452736267 is a prime.

It is a super-2 number, since 2×2264527362692 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226452736267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1678099 + ... + 1808015.

It is an arithmetic number, because the mean of its divisors is an integer number (13696410273).

Almost surely, 2226452736269 is an apocalyptic number.

It is an amenable number.

226452736269 is a deficient number, since it is larger than the sum of its proper divisors (102261110283).

226452736269 is a wasteful number, since it uses less digits than its factorization.

226452736269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130877 (or 130874 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 226452736269 in words is "two hundred twenty-six billion, four hundred fifty-two million, seven hundred thirty-six thousand, two hundred sixty-nine".

Divisors: 1 3 9 293 661 879 1983 2637 5949 129917 193673 389751 581019 1169253 1743057 38065681 85875137 114197043 257625411 342591129 772876233 25161415141 75484245423 226452736269