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2223314302044 = 22311210323363803
BaseRepresentation
bin100000010110100111110…
…110111111010001011100
321212112202121002210101210
4200112213312333101130
5242411321430131134
64421213153304420
7316425541516113
oct40264766772134
97775677083353
102223314302044
117879a1a64200
122baa87565110
13131871aaa234
14798750b6c7a
153cc781482e9
hex205a7dbf45c

2223314302044 has 144 divisors (see below), whose sum is σ = 5782381952256. Its totient is φ = 664316632320.

The previous prime is 2223314302043. The next prime is 2223314302081. The reversal of 2223314302044 is 4402034133222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223314302043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34814647 + ... + 34878449.

It is an arithmetic number, because the mean of its divisors is an integer number (40155430224).

Almost surely, 22223314302044 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 2223314302044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891190976128).

2223314302044 is an abundant number, since it is smaller than the sum of its proper divisors (3559067650212).

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

2223314302044 is a wasteful number, since it uses less digits than its factorization.

2223314302044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64168 (or 64155 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2223314302044 its reverse (4402034133222), we get a palindrome (6625348435266).

The spelling of 2223314302044 in words is "two trillion, two hundred twenty-three billion, three hundred fourteen million, three hundred two thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 121 132 206 233 242 309 363 412 466 484 618 699 726 932 1133 1236 1398 1452 2266 2563 2796 3399 4532 5126 6798 7689 10252 12463 13596 15378 23999 24926 28193 30756 37389 47998 49852 56386 63803 71997 74778 84579 95996 112772 127606 143994 149556 169158 191409 255212 263989 287988 338316 382818 527978 701833 765636 791967 1055956 1403666 1583934 2105499 2807332 2903879 3167868 4210998 5807758 6571709 7720163 8421996 8711637 11615516 13143418 14866099 15440326 17423274 19715127 23160489 26286836 29732198 30880652 34846548 39430254 44598297 46320978 59464396 72288799 78860508 89196594 92641956 144577598 163527089 178393188 216866397 289155196 327054178 433732794 490581267 654108356 795176789 867465588 981162534 1531208197 1590353578 1798797979 1962325068 2385530367 3062416394 3180707156 3597595958 4593624591 4771060734 5396393937 6124832788 7195191916 9187249182 9542121468 10792787874 16843290167 18374498364 21585575748 33686580334 50529870501 67373160668 101059741002 185276191837 202119482004 370552383674 555828575511 741104767348 1111657151022 2223314302044