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221220400421424 = 24317769935212811
BaseRepresentation
bin110010010011001011100011…
…011000100101101000110000
31002000021110112001210110101110
4302103023203120211220300
5212443433340001441144
62102255125440033320
764411434514634655
oct6223134330455060
91060243461713343
10221220400421424
1164540054919a98
1220989bb4602840
139658cc04935a1
143c8b1a5925c2c
151a896b4ac50b9
hexc932e3625a30

221220400421424 has 80 divisors (see below), whose sum is σ = 605181472156800. Its totient is φ = 69393462113280.

The previous prime is 221220400421399. The next prime is 221220400421437. The reversal of 221220400421424 is 424124004022122.

It is a junction number, because it is equal to n+sod(n) for n = 221220400421391 and 221220400421400.

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, 11324022 + ... + 23888789.

It is an arithmetic number, because the mean of its divisors is an integer number (7564768401960).

Almost surely, 2221220400421424 is an apocalyptic number.

221220400421424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221220400421424 is an abundant number, since it is smaller than the sum of its proper divisors (383961071735376).

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

221220400421424 is a wasteful number, since it uses less digits than its factorization.

221220400421424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35220538 (or 35220532 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 221220400421424 its reverse (424124004022122), we get a palindrome (645344404443546).

The spelling of 221220400421424 in words is "two hundred twenty-one trillion, two hundred twenty billion, four hundred million, four hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 7699 15398 23097 30796 46194 61592 92388 123184 130883 184776 261766 369552 392649 523532 785298 1047064 1570596 2094128 3141192 6282384 35212811 70425622 105638433 140851244 211276866 281702488 422553732 563404976 598617787 845107464 1197235574 1690214928 1795853361 2394471148 3591706722 4788942296 7183413444 9577884592 14366826888 28733653776 271103431889 542206863778 813310295667 1084413727556 1626620591334 2168827455112 3253241182668 4337654910224 4608758342113 6506482365336 9217516684226 13012964730672 13826275026339 18435033368452 27652550052678 36870066736904 55305100105356 73740133473808 110610200210712 221220400421424