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225511141212 = 22327346739107
BaseRepresentation
bin1101001000000110000…
…0101110111101011100
3210120002020222221020100
43102001200232331130
512143321323004322
6251333130221100
722202243034000
oct3220140567534
9716066887210
10225511141212
1187703184185
1237857284790
131835b70b8c6
14acb42c0700
155cece60dac
hex348182ef5c

225511141212 has 144 divisors (see below), whose sum is σ = 666212601600. Its totient is φ = 64292141088.

The previous prime is 225511141187. The next prime is 225511141223. The reversal of 225511141212 is 212141115522.

225511141212 is a `hidden beast` number, since 2 + 2 + 5 + 511 + 141 + 2 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5746963 + ... + 5786069.

It is an arithmetic number, because the mean of its divisors is an integer number (4626476400).

Almost surely, 2225511141212 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 225511141212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333106300800).

225511141212 is an abundant number, since it is smaller than the sum of its proper divisors (440701460388).

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

225511141212 is a wasteful number, since it uses less digits than its factorization.

225511141212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39605 (or 39586 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

Adding to 225511141212 its reverse (212141115522), we get a palindrome (437652256734).

The spelling of 225511141212 in words is "two hundred twenty-five billion, five hundred eleven million, one hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 467 588 686 882 934 1029 1372 1401 1764 1868 2058 2802 3087 3269 4116 4203 5604 6174 6538 8406 9807 12348 13076 16812 19614 22883 29421 39107 39228 45766 58842 68649 78214 91532 117321 117684 137298 156428 160181 205947 234642 273749 274596 320362 351963 411894 469284 480543 547498 640724 703926 821247 823788 961086 1094996 1407852 1441629 1642494 1916243 1922172 2463741 2883258 3284988 3832486 4927482 5748729 5766516 7664972 9854964 11497458 13413701 17246187 18262969 22994916 26827402 34492374 36525938 40241103 53654804 54788907 68984748 73051876 80482206 109577814 120723309 127840783 160964412 164366721 219155628 241446618 255681566 328733442 383522349 482893236 511363132 657466884 767044698 894885481 1150567047 1534089396 1789770962 2301134094 2684656443 3579541924 4602268188 5369312886 6264198367 8053969329 10738625772 12528396734 16107938658 18792595101 25056793468 32215877316 37585190202 56377785303 75170380404 112755570606 225511141212