Search a number
-
+
206454422200 = 235213225723767
BaseRepresentation
bin1100000001000110100…
…1000111101010111000
3201201220011102022020111
43000101221013222320
511340304313002300
6234502134434104
720626063430305
oct3002151075270
9651804368214
10206454422200
117a614159124
1234019202934
13166125a2700
149dc73c00ac
155584e209ba
hex3011a47ab8

206454422200 has 144 divisors (see below), whose sum is σ = 521814793680. Its totient is φ = 75929518080.

The previous prime is 206454422177. The next prime is 206454422281. The reversal of 206454422200 is 2224454602.

206454422200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8674717 + ... + 8698483.

It is an arithmetic number, because the mean of its divisors is an integer number (3623713845).

Almost surely, 2206454422200 is an apocalyptic number.

206454422200 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 206454422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260907396840).

206454422200 is an abundant number, since it is smaller than the sum of its proper divisors (315360371480).

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

206454422200 is a wasteful number, since it uses less digits than its factorization.

206454422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24066 (or 24044 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 206454422200 its reverse (2224454602), we get a palindrome (208678876802).

The spelling of 206454422200 in words is "two hundred six billion, four hundred fifty-four million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 257 260 325 338 514 520 650 676 845 1028 1285 1300 1352 1690 2056 2570 2600 3341 3380 4225 5140 6425 6682 6760 8450 10280 12850 13364 16705 16900 23767 25700 26728 33410 33800 43433 47534 51400 66820 83525 86866 95068 118835 133640 167050 173732 190136 217165 237670 308971 334100 347464 434330 475340 594175 617942 668200 868660 950680 1085825 1188350 1235884 1544855 1737320 2171650 2376700 2471768 3089710 4016623 4343300 4753400 6108119 6179420 7724275 8033246 8686600 12216238 12358840 15448550 16066492 20083115 24432476 30540595 30897100 32132984 40166230 48864952 61081190 61794200 79405547 80332460 100415575 122162380 152702975 158811094 160664920 200831150 244324760 305405950 317622188 397027735 401662300 610811900 635244376 794055470 803324600 1032272111 1221623800 1588110940 1985138675 2064544222 3176221880 3970277350 4129088444 5161360555 7940554700 8258176888 10322721110 15881109400 20645442220 25806802775 41290884440 51613605550 103227211100 206454422200