Search a number
-
+
226694063376 = 243211236072
BaseRepresentation
bin1101001100100000000…
…1001110010100010000
3210200010200212121101100
43103020001032110100
512203232140012001
6252050344304400
722243455513444
oct3231001162420
9720120777340
10226694063376
118815a986100
1237b27472100
13184b9803a51
14ad87446824
155d6bc26586
hex34c804e510

226694063376 has 135 divisors (see below), whose sum is σ = 697540441143. Its totient is φ = 68676125760.

The previous prime is 226694063369. The next prime is 226694063437. The reversal of 226694063376 is 673360496622.

The square root of 226694063376 is 476124.

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

226694063376 is a `hidden beast` number, since 2 + 266 + 9 + 4 + 0 + 6 + 3 + 376 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62846565 + ... + 62850171.

Almost surely, 2226694063376 is an apocalyptic number.

226694063376 is the 476124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226694063376

226694063376 is an abundant number, since it is smaller than the sum of its proper divisors (470846377767).

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

226694063376 is an equidigital number, since it uses as much as digits as its factorization.

226694063376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 226694063376 in words is "two hundred twenty-six billion, six hundred ninety-four million, sixty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 3607 4356 5808 7214 8712 10821 14428 17424 21642 28856 32463 39677 43284 57712 64926 79354 86568 119031 129852 158708 173136 238062 259704 317416 357093 436447 476124 519408 634832 714186 872894 952248 1309341 1428372 1745788 1904496 2618682 2856744 3491576 3928023 5237364 5713488 6983152 7856046 10474728 13010449 15712092 20949456 26020898 31424184 39031347 52041796 62848368 78062694 104083592 117094041 143114939 156125388 208167184 234188082 286229878 312250776 429344817 468376164 572459756 624501552 858689634 936752328 1144919512 1288034451 1574264329 1717379268 1873504656 2289839024 2576068902 3148528658 3434758536 4722792987 5152137804 6297057316 6869517072 9445585974 10304275608 12594114632 14168378961 18891171948 20608551216 25188229264 28336757922 37782343896 56673515844 75564687792 113347031688 226694063376