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224211404012112 = 243211791791741817
BaseRepresentation
bin110010111110101101001001…
…000101110011101001010000
31002101212101211020201210022200
4302332231021011303221100
5213341434423411341422
62112505144055203200
765140511414654346
oct6276551105635120
91071771736653280
10224211404012112
1165493582427250
1221191809676500
1398150771cc66a
143d51c65a9d996
151adc3be5eb2ac
hexcbeb49173a50

224211404012112 has 120 divisors (see below), whose sum is σ = 693189074547840. Its totient is φ = 67082813591040.

The previous prime is 224211404012051. The next prime is 224211404012131. The reversal of 224211404012112 is 211210404112422.

224211404012112 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 1 + 1 + 40 + 401 + 211 + 2 = 666.

224211404012112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 895745773 + ... + 895996044.

It is an arithmetic number, because the mean of its divisors is an integer number (5776575621232).

Almost surely, 2224211404012112 is an apocalyptic number.

224211404012112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

224211404012112 is an abundant number, since it is smaller than the sum of its proper divisors (468977670535728).

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

224211404012112 is a wasteful number, since it uses less digits than its factorization.

224211404012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791741921 (or 1791741912 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 224211404012112 its reverse (211210404112422), we get a palindrome (435421808124534).

The spelling of 224211404012112 in words is "two hundred twenty-four trillion, two hundred eleven billion, four hundred four million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 79 88 99 132 144 158 176 198 237 264 316 396 474 528 632 711 792 869 948 1264 1422 1584 1738 1896 2607 2844 3476 3792 5214 5688 6952 7821 10428 11376 13904 15642 20856 31284 41712 62568 125136 1791741817 3583483634 5375225451 7166967268 10750450902 14333934536 16125676353 19709159987 21500901804 28667869072 32251352706 39418319974 43001803608 59127479961 64502705412 78836639948 86003607216 118254959922 129005410824 141547603543 157673279896 177382439883 236509919844 258010821648 283095207086 315346559792 354764879766 424642810629 473019839688 566190414172 709529759532 849285621258 946039679376 1132380828344 1273928431887 1419059519064 1557023638973 1698571242516 2264761656688 2547856863774 2838119038128 3114047277946 3397142485032 4671070916919 5095713727548 6228094555892 6794284970064 9342141833838 10191427455096 12456189111784 14013212750757 18684283667676 20382854910192 24912378223568 28026425501514 37368567335352 56052851003028 74737134670704 112105702006056 224211404012112