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221215500052144 = 241319225711463359
BaseRepresentation
bin110010010011000110111111…
…010011001010011010110000
31002000020222212112212220110221
4302103012333103022122300
5212443343321003132034
62102252555304102424
764411202212324033
oct6223067723123260
91060228775786427
10221215500052144
1164538a6a781024
1220989067464a14
1396586bc1793b0
143c8ac5cb9b01a
151a894c979dbb4
hexc931bf4ca6b0

221215500052144 has 120 divisors (see below), whose sum is σ = 489042206795520. Its totient is φ = 96349432283136.

The previous prime is 221215500052123. The next prime is 221215500052171. The reversal of 221215500052144 is 441250005512122.

221215500052144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13565937 + ... + 25029295.

It is an arithmetic number, because the mean of its divisors is an integer number (4075351723296).

Almost surely, 2221215500052144 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 221215500052144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244521103397760).

221215500052144 is an abundant number, since it is smaller than the sum of its proper divisors (267826706743376).

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

221215500052144 is a wasteful number, since it uses less digits than its factorization.

221215500052144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11463675 (or 11463650 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

Adding to 221215500052144 its reverse (441250005512122), we get a palindrome (662465505564266).

The spelling of 221215500052144 in words is "two hundred twenty-one trillion, two hundred fifteen billion, five hundred million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 257 304 361 494 514 722 988 1028 1444 1976 2056 2888 3341 3952 4112 4693 4883 5776 6682 9386 9766 13364 18772 19532 26728 37544 39064 53456 63479 75088 78128 92777 126958 185554 253916 371108 507832 742216 1015664 1206101 1484432 2412202 4824404 9648808 11463359 19297616 22926718 45853436 91706872 149023667 183413744 217803821 298047334 435607642 596094668 871215284 1192189336 1742430568 2384378672 2831449673 2946083263 3484861136 4138272599 5662899346 5892166526 8276545198 11325798692 11784333052 16553090396 22651597384 23568666104 33106180792 38299082419 45303194768 47137332208 53797543787 55975581997 66212361584 76598164838 107595087574 111951163994 153196329676 215190175148 223902327988 306392659352 430380350296 447804655976 612785318704 727682565961 860760700592 895609311952 1063536057943 1455365131922 2127072115886 2910730263844 4254144231772 5821460527688 8508288463544 11642921055376 13825968753259 17016576927088 27651937506518 55303875013036 110607750026072 221215500052144