Search a number
-
+
243414332200 = 235213229340829
BaseRepresentation
bin1110001010110010011…
…1111111001100101000
3212021021222000021021001
43202230213333030220
512442003032112300
6303453433524344
723405014454044
oct3425447771450
9767258007231
10243414332200
1194260054596
123b212b736b4
1319c52874c40
14bad1d0b024
1564e9a9516a
hex38ac9ff328

243414332200 has 96 divisors (see below), whose sum is σ = 609752770200. Its totient is φ = 89834664960.

The previous prime is 243414332131. The next prime is 243414332219. The reversal of 243414332200 is 2233414342.

It can be written as a sum of positive squares in 12 ways, for example, as 23383914724 + 220030417476 = 152918^2 + 469074^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5941386 + ... + 5982214.

Almost surely, 2243414332200 is an apocalyptic number.

243414332200 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 243414332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304876385100).

243414332200 is an abundant number, since it is smaller than the sum of its proper divisors (366338438000).

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

243414332200 is a wasteful number, since it uses less digits than its factorization.

243414332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43151 (or 43142 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 243414332200 its reverse (2233414342), we get a palindrome (245647746542).

The spelling of 243414332200 in words is "two hundred forty-three billion, four hundred fourteen million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2293 2600 4586 9172 11465 18344 22930 29809 40829 45860 57325 59618 81658 91720 114650 119236 149045 163316 204145 229300 238472 298090 326632 408290 458600 530777 596180 745225 816580 1020725 1061554 1192360 1490450 1633160 2041450 2123108 2653885 2980900 4082900 4246216 5307770 5961800 8165800 10615540 13269425 21231080 26538850 53077700 93620897 106155400 187241794 374483588 468104485 748967176 936208970 1217071661 1872417940 2340522425 2434143322 3744835880 4681044850 4868286644 6085358305 9362089700 9736573288 12170716610 18724179400 24341433220 30426791525 48682866440 60853583050 121707166100 243414332200