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21830558288 = 24711192932159
BaseRepresentation
bin10100010101001100…
…111110001001010000
32002100102001021010212
4110111030332021100
5324202110331123
614010120343252
71401660453350
oct242514761120
962312037125
1021830558288
119292865610
124293014b28
13209ba06b16
1410b1474b60
1587b80d878
hex51533e250

21830558288 has 160 divisors (see below), whose sum is σ = 57424896000. Its totient is φ = 7779663360.

The previous prime is 21830558287. The next prime is 21830558327. The reversal of 21830558288 is 88285503812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21830558287) 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, 662753 + ... + 694911.

It is an arithmetic number, because the mean of its divisors is an integer number (358905600).

Almost surely, 221830558288 is an apocalyptic number.

21830558288 is a gapful number since it is divisible by the number (28) 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 21830558288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28712448000).

21830558288 is an abundant number, since it is smaller than the sum of its proper divisors (35594337712).

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

21830558288 is a wasteful number, since it uses less digits than its factorization.

21830558288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32233 (or 32227 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 50.

The spelling of 21830558288 in words is "twenty-one billion, eight hundred thirty million, five hundred fifty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 29 38 44 56 58 76 77 88 112 116 133 152 154 176 203 209 232 266 304 308 319 406 418 464 532 551 616 638 812 836 1064 1102 1232 1276 1463 1624 1672 2128 2204 2233 2552 2926 3248 3344 3857 4408 4466 5104 5852 6061 7714 8816 8932 11704 12122 15428 17864 23408 24244 30856 32159 35728 42427 48488 61712 64318 84854 96976 128636 169708 225113 257272 339416 353749 450226 514544 611021 678832 707498 900452 932611 1222042 1414996 1800904 1865222 2444084 2476243 2829992 3601808 3730444 4277147 4888168 4952486 5659984 6528277 6721231 7460888 8554294 9776336 9904972 10258721 13056554 13442462 14921776 17108588 17719609 19809944 20517442 26113108 26884924 34217176 35439218 39619888 41034884 47048617 52226216 53769848 68434352 70878436 71811047 82069768 94097234 104452432 107539696 124037263 141756872 143622094 164139536 188194468 194915699 248074526 283513744 287244188 376388936 389831398 496149052 574488376 752777872 779662796 992298104 1148976752 1364409893 1559325592 1984596208 2728819786 3118651184 5457639572 10915279144 21830558288