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223044140440 = 235115938322433
BaseRepresentation
bin1100111110111001110…
…1110111110110011000
3210022201022220022101101
43033232131313312120
512123243244443230
6250244242001144
722054145624632
oct3175635676630
9708638808341
10223044140440
1186657669a70
12372890461b4
1318057594634
14ab1c7bda52
155c065a2aca
hex33ee777d98

223044140440 has 128 divisors (see below), whose sum is σ = 558229708800. Its totient is φ = 79520542720.

The previous prime is 223044140413. The next prime is 223044140441. The reversal of 223044140440 is 44041440322.

It is a junction number, because it is equal to n+sod(n) for n = 223044140399 and 223044140408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223044140441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9931464 + ... + 9953896.

It is an arithmetic number, because the mean of its divisors is an integer number (4361169600).

Almost surely, 2223044140440 is an apocalyptic number.

223044140440 is a gapful number since it is divisible by the number (20) 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 223044140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279114854400).

223044140440 is an abundant number, since it is smaller than the sum of its proper divisors (335185568360).

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

223044140440 is a wasteful number, since it uses less digits than its factorization.

223044140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22897 (or 22893 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 223044140440 its reverse (44041440322), we get a palindrome (267085580762).

The spelling of 223044140440 in words is "two hundred twenty-three billion, forty-four million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 383 440 472 590 649 766 1180 1298 1532 1915 2360 2596 3064 3245 3830 4213 5192 6490 7660 8426 12980 15320 16852 21065 22433 22597 25960 33704 42130 44866 45194 84260 89732 90388 112165 112985 168520 179464 180776 224330 225970 246763 248567 448660 451940 493526 497134 897320 903880 987052 994268 1233815 1242835 1323547 1974104 1988536 2467630 2485670 2647094 4935260 4971340 5294188 6617735 8591839 9870520 9942680 10588376 13235470 14559017 17183678 26470940 29118034 34367356 42959195 52941880 58236068 68734712 72795085 85918390 94510229 116472136 145590170 171836780 189020458 291180340 343673560 378040916 472551145 506918501 582360680 756081832 945102290 1013837002 1890204580 2027674004 2534592505 3780409160 4055348008 5069185010 5576103511 10138370020 11152207022 20276740040 22304414044 27880517555 44608828088 55761035110 111522070220 223044140440