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225946214244 = 223222723492
BaseRepresentation
bin1101001001101101110…
…0011001111101100100
3210121012120122221020100
43102123130121331210
512200214212323434
6251444231304100
722216105063332
oct3223334317544
9717176587210
10225946214244
1187906824a73
1237958b1b030
13183ca8b027a
14ad15db4b52
155d26251699
hex349b719f64

225946214244 has 81 divisors (see below), whose sum is σ = 575317406937. Its totient is φ = 74768766048.

The previous prime is 225946214237. The next prime is 225946214269. The reversal of 225946214244 is 442412649522.

The square root of 225946214244 is 475338.

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

225946214244 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 462 + 142 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165842788644 + 60103425600 = 407238^2 + 245160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225946214244.

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, 647410182 + ... + 647410530.

Almost surely, 2225946214244 is an apocalyptic number.

225946214244 is the 475338-th square number.

It is an amenable number.

225946214244 is an abundant number, since it is smaller than the sum of its proper divisors (349371192693).

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

225946214244 is an equidigital number, since it uses as much as digits as its factorization.

225946214244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 581 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 225946214244 in words is "two hundred twenty-five billion, nine hundred forty-six million, two hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 227 349 454 681 698 908 1047 1362 1396 2043 2094 2724 3141 4086 4188 6282 8172 12564 51529 79223 103058 121801 154587 158446 206116 237669 243602 309174 316892 365403 463761 475338 487204 618348 713007 730806 927522 950676 1096209 1426014 1461612 1855044 2192418 2852028 4384836 17983621 27648827 35967242 53950863 55297654 71934484 82946481 107901726 110595308 161852589 165892962 215803452 248839443 323705178 331785924 497678886 647410356 995357772 6276283729 12552567458 18828851187 25105134916 37657702374 56486553561 75315404748 112973107122 225946214244