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226466331741 = 32137326515201
BaseRepresentation
bin1101001011101001110…
…0011111110001011101
3210122112211100122022100
43102322130133301131
512202300340103431
6252012011235313
722235022026016
oct3227234376135
9718484318270
10226466331741
1188053381a41
1237a83148b39
131848158a0c0
14ad650c600d
155d56c404e6
hex34ba71fc5d

226466331741 has 24 divisors (see below), whose sum is σ = 357106740536. Its totient is φ = 137454796800.

The previous prime is 226466331731. The next prime is 226466331757. The reversal of 226466331741 is 147133664622.

226466331741 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 6 + 633 + 1 + 7 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52142841 + 226414188900 = 7221^2 + 475830^2 .

It is not a de Polignac number, because 226466331741 - 213 = 226466323549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226466331731) 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 23 ways as a sum of consecutive naturals, for example, 13249060 + ... + 13266141.

Almost surely, 2226466331741 is an apocalyptic number.

It is an amenable number.

226466331741 is a deficient number, since it is larger than the sum of its proper divisors (130640408795).

226466331741 is a wasteful number, since it uses less digits than its factorization.

226466331741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26515293 (or 26515290 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 226466331741 in words is "two hundred twenty-six billion, four hundred sixty-six million, three hundred thirty-one thousand, seven hundred forty-one".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 8541 26515201 79545603 238636809 344697613 1034092839 1935609673 3102278517 5806829019 17420487057 25162925749 75488777247 226466331741