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226351383696 = 24324129672
BaseRepresentation
bin1101001011001110011…
…0000000010010010000
3210122020211001200020100
43102303212000102100
512202031423234241
6251552343412400
722232125005354
oct3226346002220
9718224050210
10226351383696
1187aa4500859
1237a50754100
13184638117c9
14ad53b23464
155d4bad69b6
hex34b3980490

226351383696 has 135 divisors (see below), whose sum is σ = 649968963033. Its totient is φ = 73534083840.

The previous prime is 226351383679. The next prime is 226351383733. The reversal of 226351383696 is 696383153622.

The square root of 226351383696 is 475764.

It is a perfect power (a square), and thus also a powerful number.

226351383696 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 513 + 8 + 36 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10906878096 + 215444505600 = 104436^2 + 464160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 234075405 + ... + 234076371.

Almost surely, 2226351383696 is an apocalyptic number.

226351383696 is the 475764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226351383696

226351383696 is an abundant number, since it is smaller than the sum of its proper divisors (423617579337).

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

226351383696 is an frugal number, since it uses more digits than its factorization.

226351383696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 1013 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 226351383696 in words is "two hundred twenty-six billion, three hundred fifty-one million, three hundred eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 967 984 1476 1681 1934 1968 2901 2952 3362 3868 5043 5802 5904 6724 7736 8703 10086 11604 13448 15129 15472 17406 20172 23208 26896 30258 34812 39647 40344 46416 60516 69624 79294 80688 118941 121032 139248 158588 237882 242064 317176 356823 475764 634352 713646 935089 951528 1427292 1625527 1870178 1903056 2805267 2854584 3251054 3740356 4876581 5610534 5709168 6502108 7480712 8415801 9753162 11221068 13004216 14629743 14961424 16831602 19506324 22442136 26008432 29259486 33663204 38338649 39012648 44884272 58518972 67326408 76677298 78025296 115015947 117037944 134652816 153354596 230031894 234075888 306709192 345047841 460063788 613418384 690095682 920127576 1380191364 1571884609 1840255152 2760382728 3143769218 4715653827 5520765456 6287538436 9431307654 12575076872 14146961481 18862615308 25150153744 28293922962 37725230616 56587845924 75450461232 113175691848 226351383696