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221656554164660 = 225233735639229093
BaseRepresentation
bin110010011001100001110000…
…001011000101000110110100
31002001211011022101000021111112
4302121201300023011012310
5213023110110331232120
62103231340520254152
764455105021403136
oct6231416013050664
91061734271007445
10221656554164660
116469902028482a
1220a3a637611358
13968b17b0723b4
143ca433d523056
151a95be049dbc5
hexc998702c51b4

221656554164660 has 96 divisors (see below), whose sum is σ = 487107653598720. Its totient is φ = 84564990208512.

The previous prime is 221656554164569. The next prime is 221656554164671. The reversal of 221656554164660 is 66461455656122.

It is a self number, because there is not a number n which added to its sum of digits gives 221656554164660.

It is a congruent number.

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, 967425074 + ... + 967654166.

It is an arithmetic number, because the mean of its divisors is an integer number (5074038058320).

Almost surely, 2221656554164660 is an apocalyptic number.

221656554164660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221656554164660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243553826799360).

221656554164660 is an abundant number, since it is smaller than the sum of its proper divisors (265451099434060).

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

221656554164660 is a wasteful number, since it uses less digits than its factorization.

221656554164660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235137 (or 235135 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 59.

The spelling of 221656554164660 in words is "two hundred twenty-one trillion, six hundred fifty-six billion, five hundred fifty-four million, one hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 373 460 746 1492 1865 3730 5639 7460 8579 11278 17158 22556 28195 34316 42895 56390 85790 112780 129697 171580 229093 259394 458186 518788 648485 916372 1145465 1296970 2103347 2290930 2593940 4206694 4581860 5269139 8413388 10516735 10538278 21033470 21076556 26345695 42066940 48376981 52691390 85451689 96753962 105382780 170903378 193507924 241884905 341806756 427258445 483769810 854516890 967539620 1291855427 1709033780 1965388847 2583710854 3930777694 5167421708 6459277135 7861555388 9826944235 12918554270 19653888470 25837108540 29712674821 39307776940 59425349642 118850699284 148563374105 297126748210 481862074271 594253496420 963724148542 1927448297084 2409310371355 4818620742710 9637241485420 11082827708233 22165655416466 44331310832932 55414138541165 110828277082330 221656554164660