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23000441220 = 223252333791447
BaseRepresentation
bin10101011010111011…
…101110000110000100
32012100221101110211100
4111122323232012010
5334101103104340
614322151140100
71442654344641
oct253273560604
965327343740
1023000441220
119833170a09
12455a974630
1322271b4c43
1411829a4dc8
158e939a830
hex55aeee184

23000441220 has 144 divisors (see below), whose sum is σ = 70300863360. Its totient is φ = 6086803968.

The previous prime is 23000441161. The next prime is 23000441251. The reversal of 23000441220 is 2214400032.

23000441220 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 0 + 441 + 220 = 666.

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 = 23000441193 and 23000441202.

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, 15894537 + ... + 15895983.

It is an arithmetic number, because the mean of its divisors is an integer number (488200440).

Almost surely, 223000441220 is an apocalyptic number.

23000441220 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 23000441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35150431680).

23000441220 is an abundant number, since it is smaller than the sum of its proper divisors (47300422140).

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

23000441220 is a wasteful number, since it uses less digits than its factorization.

23000441220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 23000441220 its reverse (2214400032), we get a palindrome (25214841252).

The spelling of 23000441220 in words is "twenty-three billion, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 379 466 699 758 932 1137 1165 1398 1447 1516 1895 2097 2274 2330 2796 2894 3411 3495 3790 4194 4341 4548 4660 5685 5788 6822 6990 7235 7580 8388 8682 10485 11370 13023 13644 13980 14470 17055 17364 20970 21705 22740 26046 28940 34110 41940 43410 52092 65115 68220 86820 88307 130230 176614 260460 264921 337151 353228 441535 529842 548413 674302 794763 883070 1011453 1059684 1096826 1324605 1348604 1589526 1645239 1685755 1766140 2022906 2193652 2649210 2742065 3034359 3179052 3290478 3371510 3973815 4045812 4935717 5057265 5298420 5484130 6068718 6580956 6743020 7947630 8226195 9871434 10114530 10968260 12137436 15171795 15895260 16452390 19742868 20229060 24678585 30343590 32904780 49357170 60687180 98714340 127780229 255560458 383340687 511120916 638901145 766681374 1150022061 1277802290 1533362748 1916703435 2300044122 2555604580 3833406870 4600088244 5750110305 7666813740 11500220610 23000441220