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221490504544 = 25192103186149
BaseRepresentation
bin1100111001000111011…
…1001110001101100000
3210011201001110102121011
43032101313032031200
512112103032121134
6245430142110304
722000512140131
oct3162167161540
9704631412534
10221490504544
1185a2a685361
1236b1487b394
1317b6a74305a
14aa12317c88
155b64eb1264
hex3391dce360

221490504544 has 72 divisors (see below), whose sum is σ = 464688478800. Its totient is φ = 103897389312.

The previous prime is 221490504527. The next prime is 221490504559. The reversal of 221490504544 is 445405094122.

221490504544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221490504497 and 221490504506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1096782 + ... + 1282930.

It is an arithmetic number, because the mean of its divisors is an integer number (6454006650).

Almost surely, 2221490504544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221490504544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232344239400).

221490504544 is an abundant number, since it is smaller than the sum of its proper divisors (243197974256).

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

221490504544 is a wasteful number, since it uses less digits than its factorization.

221490504544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186300 (or 186273 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 221490504544 its reverse (445405094122), we get a palindrome (666895598666).

The spelling of 221490504544 in words is "two hundred twenty-one billion, four hundred ninety million, five hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 103 152 206 304 361 412 608 722 824 1444 1648 1957 2888 3296 3914 5776 7828 11552 15656 31312 37183 62624 74366 148732 186149 297464 372298 594928 744596 1189856 1489192 2978384 3536831 5956768 7073662 14147324 19173347 28294648 38346694 56589296 67199789 76693388 113178592 134399578 153386776 268799156 306773552 364293593 537598312 613547104 728587186 1075196624 1457174372 2150393248 2914348744 5828697488 6921578267 11657394976 13843156534 27686313068 55372626136 110745252272 221490504544