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221411640361424 = 24891011579805493
BaseRepresentation
bin110010010101111101101010…
…001011000100000111010000
31002000221202010220110222200012
4302111331222023010013100
5213010102014413031144
62102523034155414052
764431314565413312
oct6225755213040720
91060852126428605
10221411640361424
1164604170881487
12209bb086454328
139671049961bb6
143c9654840d7b2
151a8e658e65e9e
hexc95f6a2c41d0

221411640361424 has 80 divisors (see below), whose sum is σ = 440890702238160. Its totient is φ = 107687835340800.

The previous prime is 221411640361423. The next prime is 221411640361447. The reversal of 221411640361424 is 424163046114122.

It can be written as a sum of positive squares in 8 ways, for example, as 7137083227024 + 214274557134400 = 2671532^2 + 14638120^2 .

It is a super-2 number, since 2×2214116403614242 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221411640361421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17677622 + ... + 27483114.

It is an arithmetic number, because the mean of its divisors is an integer number (5511133777977).

Almost surely, 2221411640361424 is an apocalyptic number.

It is an amenable number.

221411640361424 is a deficient number, since it is larger than the sum of its proper divisors (219479061876736).

221411640361424 is a wasteful number, since it uses less digits than its factorization.

221411640361424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805848 (or 9805842 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

Adding to 221411640361424 its reverse (424163046114122), we get a palindrome (645574686475546).

The spelling of 221411640361424 in words is "two hundred twenty-one trillion, four hundred eleven billion, six hundred forty million, three hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 89 101 157 178 202 314 356 404 628 712 808 1256 1424 1616 2512 8989 13973 15857 17978 27946 31714 35956 55892 63428 71912 111784 126856 143824 223568 253712 1411273 2822546 5645092 9805493 11290184 19610986 22580368 39221972 78443944 156887888 872688877 990354793 1539462401 1745377754 1980709586 3078924802 3490755508 3961419172 6157849604 6981511016 7922838344 12315699208 13963022032 15845676688 24631398416 88141576577 137012153689 155485702501 176283153154 274024307378 310971405002 352566306308 548048614756 621942810004 705132612616 1096097229512 1243885620008 1410265225232 2192194459024 2487771240016 13838227522589 27676455045178 55352910090356 110705820180712 221411640361424