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223502500 = 2254132232
BaseRepresentation
bin11010101001001…
…10000010100100
3120120120002210101
431110212002210
5424204040000
634102233444
75352511534
oct1524460244
9516502711
10223502500
11105185811
1262a25884
13373c5a00
142197d4c4
151494ce6a
hexd5260a4

223502500 has 135 divisors (see below), whose sum is σ = 553254933. Its totient is φ = 78936000.

The previous prime is 223502479. The next prime is 223502501. The reversal of 223502500 is 5205322.

The square root of 223502500 is 14950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 220760164 + 2742336 = 14858^2 + 1656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223502501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9717489 + ... + 9717511.

Almost surely, 2223502500 is an apocalyptic number.

223502500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

223502500 is the 14950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223502500

223502500 is an abundant number, since it is smaller than the sum of its proper divisors (329752433).

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

223502500 is a wasteful number, since it uses less digits than its factorization.

223502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The cubic root of 223502500 is about 606.8678471101.

Adding to 223502500 its reverse (5205322), we get a palindrome (228707822).

The spelling of 223502500 in words is "two hundred twenty-three million, five hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 125 130 169 230 250 260 299 325 338 460 500 529 575 598 625 650 676 845 1058 1150 1196 1250 1300 1495 1625 1690 2116 2300 2500 2645 2875 2990 3250 3380 3887 4225 5290 5750 5980 6500 6877 7475 7774 8125 8450 10580 11500 13225 13754 14375 14950 15548 16250 16900 19435 21125 26450 27508 28750 29900 32500 34385 37375 38870 42250 52900 57500 66125 68770 74750 77740 84500 89401 97175 105625 132250 137540 149500 171925 178802 186875 194350 211250 264500 330625 343850 357604 373750 388700 422500 447005 485875 661250 687700 747500 859625 894010 971750 1322500 1719250 1788020 1943500 2235025 2429375 3438500 4298125 4470050 4858750 8596250 8940100 9717500 11175125 17192500 22350250 44700500 55875625 111751250 223502500