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221305114116 = 22332543805789
BaseRepresentation
bin1100111000011011010…
…0000000111000000100
3210011020010121121202000
43032012310000320010
512111213102122431
6245355520345300
721663101301222
oct3160664007004
9704203547660
10221305114116
1185944a70829
1236a82775230
1317b3b202788
14a9d5859b12
155b53a909e6
hex3386d00e04

221305114116 has 48 divisors (see below), whose sum is σ = 573980332800. Its totient is φ = 73739271456.

The previous prime is 221305114091. The next prime is 221305114171. The reversal of 221305114116 is 611411503122.

221305114116 is a `hidden beast` number, since 2 + 2 + 1 + 30 + 511 + 4 + 116 = 666.

It is a super-2 number, since 2×2213051141162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 221305114116.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128251 + ... + 677538.

It is an arithmetic number, because the mean of its divisors is an integer number (11957923600).

Almost surely, 2221305114116 is an apocalyptic number.

It is an amenable number.

221305114116 is an abundant number, since it is smaller than the sum of its proper divisors (352675218684).

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

221305114116 is a wasteful number, since it uses less digits than its factorization.

221305114116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808345 (or 808337 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 221305114116 its reverse (611411503122), we get a palindrome (832716617238).

The spelling of 221305114116 in words is "two hundred twenty-one billion, three hundred five million, one hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2543 5086 7629 10172 15258 22887 30516 45774 68661 91548 137322 274644 805789 1611578 2417367 3223156 4834734 7252101 9669468 14504202 21756303 29008404 43512606 87025212 2049121427 4098242854 6147364281 8196485708 12294728562 18442092843 24589457124 36884185686 55326278529 73768371372 110652557058 221305114116