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223043114100 = 2235223241134129
BaseRepresentation
bin1100111110111001100…
…1111101010001110100
3210022201020222011111210
43033232121331101310
512123243014122400
6250244204001420
722054134121452
oct3175631752164
9708636864453
10223043114100
1186657028954
1237288830270
13180572c5431
14ab1c5d39d2
155c0644d950
hex33ee67d474

223043114100 has 144 divisors (see below), whose sum is σ = 676195470720. Its totient is φ = 56655667200.

The previous prime is 223043114033. The next prime is 223043114117. The reversal of 223043114100 is 1411340322.

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, 1595836 + ... + 1729964.

It is an arithmetic number, because the mean of its divisors is an integer number (4695801880).

Almost surely, 2223043114100 is an apocalyptic number.

223043114100 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 223043114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338097735360).

223043114100 is an abundant number, since it is smaller than the sum of its proper divisors (453152356620).

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

223043114100 is a wasteful number, since it uses less digits than its factorization.

223043114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134410 (or 134403 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 223043114100 its reverse (1411340322), we get a palindrome (224454454422).

The spelling of 223043114100 in words is "two hundred twenty-three billion, forty-three million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 241 276 300 345 460 482 575 690 723 964 1150 1205 1380 1446 1725 2300 2410 2892 3450 3615 4820 5543 6025 6900 7230 11086 12050 14460 16629 18075 22172 24100 27715 33258 36150 55430 66516 72300 83145 110860 134129 138575 166290 268258 277150 332580 402387 415725 536516 554300 670645 804774 831450 1341290 1609548 1662900 2011935 2682580 3084967 3353225 4023870 6169934 6706450 8047740 9254901 10059675 12339868 13412900 15424835 18509802 20119350 30849670 32325089 37019604 40238700 46274505 61699340 64650178 77124175 92549010 96975267 129300356 154248350 161625445 185098020 193950534 231372525 308496700 323250890 387901068 462745050 484876335 646501780 743477047 808127225 925490100 969752670 1486954094 1616254450 1939505340 2230431141 2424381675 2973908188 3232508900 3717385235 4460862282 4848763350 7434770470 8921724564 9697526700 11152155705 14869540940 18586926175 22304311410 37173852350 44608622820 55760778525 74347704700 111521557050 223043114100