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2300030303220 = 22325135099192767
BaseRepresentation
bin100001011110000100011…
…111010011101111110100
322010212210001210102220200
4201132010133103233310
5300140430224200340
64520341435400500
7325112616001116
oct41360437235764
98125701712820
102300030303220
1180748a165371
123119175b3130
13138b79742c80
147d471a3d3b6
153ec68175330
hex217847d3bf4

2300030303220 has 144 divisors (see below), whose sum is σ = 7514944819200. Its totient is φ = 566047335168.

The previous prime is 2300030303189. The next prime is 2300030303231. The reversal of 2300030303220 is 223030300032.

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 = 2300030303193 and 2300030303202.

It is a congruent number.

It is an unprimeable number.

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, 11835277 + ... + 12028043.

It is an arithmetic number, because the mean of its divisors is an integer number (52187116800).

Almost surely, 22300030303220 is an apocalyptic number.

2300030303220 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 2300030303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757472409600).

2300030303220 is an abundant number, since it is smaller than the sum of its proper divisors (5214914515980).

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

2300030303220 is a wasteful number, since it uses less digits than its factorization.

2300030303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197894 (or 197889 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 2300030303220 its reverse (223030300032), we get a palindrome (2523060603252).

The spelling of 2300030303220 in words is "two trillion, three hundred billion, thirty million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5099 10198 15297 20396 25495 30594 45891 50990 61188 66287 76485 91782 101980 132574 152970 183564 192767 198861 229455 265148 305940 331435 385534 397722 458910 578301 596583 662870 771068 795444 917820 963835 994305 1156602 1193166 1325740 1734903 1927670 1988610 2313204 2386332 2505971 2891505 2982915 3469806 3855340 3977220 5011942 5783010 5965830 6939612 7517913 8674515 10023884 11566020 11931660 12529855 15035826 17349030 22553739 25059710 30071652 34698060 37589565 45107478 50119420 75179130 90214956 112768695 150358260 225537390 451074780 982918933 1965837866 2948756799 3931675732 4914594665 5897513598 8846270397 9829189330 11795027196 12777946129 14743783995 17692540794 19658378660 25555892258 29487567990 35385081588 38333838387 44231351985 51111784516 58975135980 63889730645 76667676774 88462703970 115001515161 127779461290 153335353548 176925407940 191669191935 230003030322 255558922580 383338383870 460006060644 575007575805 766676767740 1150015151610 2300030303220