Search a number
-
+
226415529072 = 2433990752903
BaseRepresentation
bin1101001011011101101…
…0101100110001110000
3210122102021202121011000
43102313122230301300
512202144333412242
6252002554322000
722233534146205
oct3226732546160
9718367677130
10226415529072
1188027733167
1237a6a129300
1318473bb0555
14ad5c45dcac
155d52557a4c
hex34b76acc70

226415529072 has 80 divisors (see below), whose sum is σ = 649974311680. Its totient is φ = 75462798528.

The previous prime is 226415528987. The next prime is 226415529079. The reversal of 226415529072 is 270925514622.

226415529072 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 1 + 552 + 90 + 7 + 2 = 666.

226415529072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226415529079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4253373 + ... + 4306275.

It is an arithmetic number, because the mean of its divisors is an integer number (8124678896).

Almost surely, 2226415529072 is an apocalyptic number.

It is an amenable number.

226415529072 is an abundant number, since it is smaller than the sum of its proper divisors (423558782608).

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

226415529072 is a wasteful number, since it uses less digits than its factorization.

226415529072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62827 (or 62815 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 226415529072 in words is "two hundred twenty-six billion, four hundred fifteen million, five hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9907 19814 29721 39628 52903 59442 79256 89163 105806 118884 158512 158709 178326 211612 237768 267489 317418 356652 423224 475536 476127 534978 634836 713304 846448 952254 1069956 1269672 1426608 1428381 1904508 2139912 2539344 2856762 3809016 4279824 5713524 7618032 11427048 22854096 524110021 1048220042 1572330063 2096440084 3144660126 4192880168 4716990189 6289320252 8385760336 9433980378 12578640504 14150970567 18867960756 25157281008 28301941134 37735921512 56603882268 75471843024 113207764536 226415529072