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221230188817044 = 223119727196354619
BaseRepresentation
bin110010010011010100101010…
…110100010110101010010100
31002000022101210020101110212120
4302103110222310112222110
5212444113411314121134
62102303425023215540
764412232212631351
oct6223245264265224
91060271706343776
10221230188817044
1164544218145550
122098ba867475b0
139659bc0392864
143c8b853925628
151a89a890d5649
hexc9352ad16a94

221230188817044 has 96 divisors (see below), whose sum is σ = 569146202419200. Its totient is φ = 66323910620160.

The previous prime is 221230188817039. The next prime is 221230188817069. The reversal of 221230188817044 is 440718881032122.

It is a super-2 number, since 2×2212301888170442 (a number of 29 digits) contains 22 as substring.

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, 31636767 + ... + 37991385.

It is an arithmetic number, because the mean of its divisors is an integer number (5928606275200).

Almost surely, 2221230188817044 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 221230188817044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284573101209600).

221230188817044 is an abundant number, since it is smaller than the sum of its proper divisors (347916013602156).

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

221230188817044 is a wasteful number, since it uses less digits than its factorization.

221230188817044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357453 (or 6357451 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 221230188817044 in words is "two hundred twenty-one trillion, two hundred thirty billion, one hundred eighty-eight million, eight hundred seventeen thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 2719 3201 4268 5438 6402 8157 10876 12804 16314 29909 32628 59818 89727 119636 179454 263743 358908 527486 791229 1054972 1582458 2901173 3164916 5802346 6354619 8703519 11604692 12709238 17407038 19063857 25418476 34814076 38127714 69900809 76255428 139801618 209702427 279603236 419404854 616398043 838809708 1232796086 1849194129 2465592172 3698388258 6780378473 7396776516 13560756946 17278209061 20341135419 27121513892 34556418122 40682270838 51834627183 69112836244 81364541676 103669254366 190060299671 207338508732 380120599342 570180899013 760241198684 1140361798026 1675986278917 2280723596052 3351972557834 5027958836751 6703945115668 10055917673502 18435849068087 20111835347004 36871698136174 55307547204261 73743396272348 110615094408522 221230188817044