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226414934568 = 233219316293533
BaseRepresentation
bin1101001011011101100…
…0011011101000101000
3210122102020122101122100
43102313120123220220
512202144210401233
6252002533453400
722233526122024
oct3226730335050
9718366571570
10226414934568
1188027367539
1237a69aa1260
1318473a32a84
14ad5c347384
155d5248b813
hex34b761ba28

226414934568 has 48 divisors (see below), whose sum is σ = 616384391220. Its totient is φ = 75080595456.

The previous prime is 226414934539. The next prime is 226414934587. The reversal of 226414934568 is 865439414622.

226414934568 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 1 + 49 + 34 + 568 = 666.

226414934568 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 2 ways, for example, as 200254460004 + 26160474564 = 447498^2 + 161742^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8132871 + ... + 8160662.

Almost surely, 2226414934568 is an apocalyptic number.

It is an amenable number.

226414934568 is an abundant number, since it is smaller than the sum of its proper divisors (389969456652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226414934568 is a wasteful number, since it uses less digits than its factorization.

226414934568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16293738 (or 16293731 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 226414934568 in words is "two hundred twenty-six billion, four hundred fourteen million, nine hundred thirty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4632 6948 13896 16293533 32587066 48880599 65174132 97761198 130348264 146641797 195522396 293283594 391044792 586567188 1173134376 3144651869 6289303738 9433955607 12578607476 18867911214 25157214952 28301866821 37735822428 56603733642 75471644856 113207467284 226414934568