Search a number
-
+
209898240 = 2835471163
BaseRepresentation
bin11001000001011…
…00101100000000
3112121221221020220
430200230230000
5412213220430
632454503040
75126051136
oct1440545400
9477857226
10209898240
11a8533722
125a364a80
1334641756
141dc3b756
1513662110
hexc82cb00

209898240 has 144 divisors (see below), whose sum is σ = 685214208. Its totient is φ = 54734848.

The previous prime is 209898239. The next prime is 209898251. The reversal of 209898240 is 42898902.

It is a junction number, because it is equal to n+sod(n) for n = 209898192 and 209898201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179899 + ... + 181061.

It is an arithmetic number, because the mean of its divisors is an integer number (4758432).

Almost surely, 2209898240 is an apocalyptic number.

209898240 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 209898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342607104).

209898240 is an abundant number, since it is smaller than the sum of its proper divisors (475315968).

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

209898240 is a wasteful number, since it uses less digits than its factorization.

209898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 209898240 is about 14487.8652671814. The cubic root of 209898240 is about 594.2961712727.

The spelling of 209898240 in words is "two hundred nine million, eight hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 256 282 320 376 384 470 480 564 640 705 752 768 940 960 1128 1163 1280 1410 1504 1880 1920 2256 2326 2820 3008 3489 3760 3840 4512 4652 5640 5815 6016 6978 7520 9024 9304 11280 11630 12032 13956 15040 17445 18048 18608 22560 23260 27912 30080 34890 36096 37216 45120 46520 54661 55824 60160 69780 74432 90240 93040 109322 111648 139560 148864 163983 180480 186080 218644 223296 273305 279120 297728 327966 372160 437288 446592 546610 558240 655932 744320 819915 874576 893184 1093220 1116480 1311864 1488640 1639830 1749152 2186440 2232960 2623728 3279660 3498304 4372880 4465920 5247456 6559320 6996608 8745760 10494912 13118640 13993216 17491520 20989824 26237280 34983040 41979648 52474560 69966080 104949120 209898240