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226012469792 = 2531227112
BaseRepresentation
bin1101001001111101100…
…1001001101000100000
3210121101012100001202112
43102133121021220200
512200333143013132
6251454555334452
722220541203234
oct3223731115040
9717335301675
10226012469792
118794016881a
1237977151428
131840b53a635
14ad20b005c4
155d2be8cab2
hex349f649a20

226012469792 has 54 divisors (see below), whose sum is σ = 459948344247. Its totient is φ = 109320532800.

The previous prime is 226012469777. The next prime is 226012469797. The reversal of 226012469792 is 297964210622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 113006234896 + 113006234896 = 336164^2 + 336164^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336164.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 226012469792.

It is not an unprimeable number, because it can be changed into a prime (226012469797) 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 8 ways as a sum of consecutive naturals, for example, 83367317 + ... + 83370027.

Almost surely, 2226012469792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226012469792

226012469792 is an abundant number, since it is smaller than the sum of its proper divisors (233935874455).

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

226012469792 is an frugal number, since it uses more digits than its factorization.

226012469792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

Multiplying 226012469792 by its sum of digits (50), we get a square (11300623489600 = 33616402).

The spelling of 226012469792 in words is "two hundred twenty-six billion, twelve million, four hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 2711 3844 5422 7688 10844 15376 21688 30752 43376 84041 86752 168082 336164 672328 1344656 2605271 2689312 5210542 7349521 10421084 14699042 20842168 29398084 41684336 58796168 83368672 117592336 227835151 235184672 455670302 911340604 1822681208 3645362416 7062889681 7290724832 14125779362 28251558724 56503117448 113006234896 226012469792