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2230213202300 = 2252172745110357
BaseRepresentation
bin100000011101000011000…
…100001101000101111100
321220012120101121020102002
4200131003010031011330
5243014434034433200
64424313520521432
7320061522302666
oct40350304150574
97805511536362
102230213202300
1178a912236066
12300291a80278
13132401175c35
1479d2b437536
153d02db41bd5
hex2074310d17c

2230213202300 has 108 divisors (see below), whose sum is σ = 5142175114104. Its totient is φ = 839415936000.

The previous prime is 2230213202297. The next prime is 2230213202333. The reversal of 2230213202300 is 32023120322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215328722 + ... + 215339078.

It is an arithmetic number, because the mean of its divisors is an integer number (47612732538).

Almost surely, 22230213202300 is an apocalyptic number.

2230213202300 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 2230213202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571087557052).

2230213202300 is an abundant number, since it is smaller than the sum of its proper divisors (2911961911804).

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

2230213202300 is a wasteful number, since it uses less digits than its factorization.

2230213202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17856 (or 17832 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2230213202300 its reverse (32023120322), we get a palindrome (2262236322622).

The spelling of 2230213202300 in words is "two trillion, two hundred thirty billion, two hundred thirteen million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 7451 10357 14450 14902 20714 28900 29804 37255 41428 51785 74510 103570 126667 149020 176069 186275 207140 253334 258925 352138 372550 506668 517850 633335 704276 745100 880345 1035700 1266670 1760690 2153339 2533340 2993173 3166675 3521380 4306678 4401725 5986346 6333350 8613356 8803450 10766695 11972692 12666700 14965865 17606900 21533390 29931730 43066780 53833475 59863460 74829325 77170007 107666950 149658650 154340014 215333900 299317300 308680028 385850035 771700070 1311890119 1543400140 1929250175 2623780238 3858500350 5247560476 6559450595 7717000700 13118901190 22302132023 26237802380 32797252975 44604264046 65594505950 89208528092 111510660115 131189011900 223021320230 446042640460 557553300575 1115106601150 2230213202300