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10223110044 = 22327296720879
BaseRepresentation
bin10011000010101100…
…00100011110011100
3222101110120210120100
421201112010132130
5131414104010134
64410232421100
7511224000360
oct114126043634
928343523510
1010223110044
114376751984
121b93847790
13c6bca6654
146cda3d2a0
153ec77e999
hex26158479c

10223110044 has 144 divisors (see below), whose sum is σ = 31009305600. Its totient is φ = 2777943168.

The previous prime is 10223109997. The next prime is 10223110061. The reversal of 10223110044 is 44001132201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10223109999 and 10223110026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479197 + ... + 500075.

It is an arithmetic number, because the mean of its divisors is an integer number (215342400).

Almost surely, 210223110044 is an apocalyptic number.

10223110044 is a gapful number since it is divisible by the number (14) 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 10223110044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504652800).

10223110044 is an abundant number, since it is smaller than the sum of its proper divisors (20786195556).

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

10223110044 is a wasteful number, since it uses less digits than its factorization.

10223110044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20992 (or 20987 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10223110044 its reverse (44001132201), we get a palindrome (54224242245).

The spelling of 10223110044 in words is "ten billion, two hundred twenty-three million, one hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 67 84 87 116 126 134 174 201 203 252 261 268 348 402 406 469 522 603 609 804 812 938 1044 1206 1218 1407 1827 1876 1943 2412 2436 2814 3654 3886 4221 5628 5829 7308 7772 8442 11658 13601 16884 17487 20879 23316 27202 34974 40803 41758 54404 62637 69948 81606 83516 122409 125274 146153 163212 187911 244818 250548 292306 375822 438459 489636 584612 605491 751644 876918 1210982 1315377 1398893 1753836 1816473 2421964 2630754 2797786 3632946 4196679 4238437 5261508 5449419 5595572 7265892 8393358 8476874 9792251 10898838 12590037 12715311 16786716 16953748 19584502 21797676 25180074 25430622 29376753 38145933 39169004 40567897 50360148 50861244 58753506 76291866 81135794 88130259 117507012 121703691 152583732 162271588 176260518 243407382 283975279 352521036 365111073 486814764 567950558 730222146 851925837 1135901116 1460444292 1703851674 2555777511 3407703348 5111555022 10223110044