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221130443340 = 22335411199611
BaseRepresentation
bin1100110111110001100…
…1101100101001001100
3210010202221221102111000
43031330121230221030
512110333343141330
6245330320500300
721655550520042
oct3157431545114
9703687842430
10221130443340
1185865409014
1236a3417a690
1317b10c764a1
14a9ba58c392
155b4358b560
hex337c66ca4c

221130443340 has 96 divisors (see below), whose sum is σ = 688135633920. Its totient is φ = 58953182400.

The previous prime is 221130443333. The next prime is 221130443371. The reversal of 221130443340 is 43344031122.

221130443340 is a `hidden beast` number, since 2 + 2 + 11 + 304 + 4 + 3 + 340 = 666.

221130443340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2170135 + ... + 2269745.

It is an arithmetic number, because the mean of its divisors is an integer number (7168079520).

Almost surely, 2221130443340 is an apocalyptic number.

221130443340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221130443340 is an abundant number, since it is smaller than the sum of its proper divisors (467005190580).

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

221130443340 is a wasteful number, since it uses less digits than its factorization.

221130443340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103740 (or 103732 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 221130443340 its reverse (43344031122), we get a palindrome (264474474462).

The spelling of 221130443340 in words is "two hundred twenty-one billion, one hundred thirty million, four hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4111 8222 12333 16444 20555 24666 36999 41110 49332 61665 73998 82220 99611 110997 123330 147996 184995 199222 221994 246660 298833 369990 398444 443988 498055 554985 597666 739980 896499 996110 1109970 1195332 1494165 1792998 1992220 2219940 2689497 2988330 3585996 4482495 5378994 5976660 8964990 10757988 13447485 17929980 26894970 53789940 409500821 819001642 1228502463 1638003284 2047504105 2457004926 3685507389 4095008210 4914009852 6142512315 7371014778 8190016420 11056522167 12285024630 14742029556 18427536945 22113044334 24570049260 36855073890 44226088668 55282610835 73710147780 110565221670 221130443340