Search a number
-
+
243331102220 = 225232197116747
BaseRepresentation
bin1110001010011110101…
…0011111011000001100
3212021002011101202012012
43202213222133120030
512441320230232340
6303441302000352
723402654146043
oct3424752373014
9767064352165
10243331102220
1194218077688
123b1ab1160b8
1319c3b55362b
14bac4c4355a
1564e2604565
hex38a7a9f60c

243331102220 has 72 divisors (see below), whose sum is σ = 536894631504. Its totient is φ = 92627210368.

The previous prime is 243331102219. The next prime is 243331102247. The reversal of 243331102220 is 22201133342.

243331102220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 2025887 + ... + 2142633.

It is an arithmetic number, because the mean of its divisors is an integer number (7456869882).

Almost surely, 2243331102220 is an apocalyptic number.

243331102220 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 243331102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268447315752).

243331102220 is an abundant number, since it is smaller than the sum of its proper divisors (293563529284).

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

243331102220 is a wasteful number, since it uses less digits than its factorization.

243331102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116999 (or 116974 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 243331102220 its reverse (22201133342), we get a palindrome (265532235562).

The spelling of 243331102220 in words is "two hundred forty-three billion, three hundred thirty-one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 197 230 394 460 529 788 985 1058 1970 2116 2645 3940 4531 5290 9062 10580 18124 22655 45310 90620 104213 116747 208426 233494 416852 466988 521065 583735 1042130 1167470 2084260 2334940 2685181 5370362 10740724 13425905 22999159 26851810 45998318 53703620 61759163 91996636 114995795 123518326 229991590 247036652 308795815 459983180 528980657 617591630 1057961314 1235183260 2115922628 2644903285 5289806570 10579613140 12166555111 24333110222 48666220444 60832775555 121665551110 243331102220