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242230050 = 232521941691
BaseRepresentation
bin11100111000000…
…10001100100010
3121212210120011100
432130002030202
5444002330200
640011455230
76000631026
oct1634021442
9555716140
10242230050
11114807027
1269157516
133b251bba
1424256386
15163ebd00
hexe702322

242230050 has 144 divisors (see below), whose sum is σ = 702767520. Its totient is φ = 59616000.

The previous prime is 242230039. The next prime is 242230067. The reversal of 242230050 is 50032242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 350205 + ... + 350895.

It is an arithmetic number, because the mean of its divisors is an integer number (4880330).

Almost surely, 2242230050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242230050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351383760).

242230050 is an abundant number, since it is smaller than the sum of its proper divisors (460537470).

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

242230050 is a wasteful number, since it uses less digits than its factorization.

242230050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 242230050 is about 15563.7415167433. The cubic root of 242230050 is about 623.3653711756.

Adding to 242230050 its reverse (50032242), we get a palindrome (292262292).

The spelling of 242230050 in words is "two hundred forty-two million, two hundred thirty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 41 45 50 57 75 82 90 95 114 123 150 171 190 205 225 246 285 342 369 410 450 475 570 615 691 738 779 855 950 1025 1230 1382 1425 1558 1710 1845 2050 2073 2337 2850 3075 3455 3690 3895 4146 4275 4674 6150 6219 6910 7011 7790 8550 9225 10365 11685 12438 13129 14022 17275 18450 19475 20730 23370 26258 28331 31095 34550 35055 38950 39387 51825 56662 58425 62190 65645 70110 78774 84993 103650 116850 118161 131290 141655 155475 169986 175275 196935 236322 254979 283310 310950 328225 350550 393870 424965 509958 538289 590805 656450 708275 849930 984675 1076578 1181610 1274895 1416550 1614867 1969350 2124825 2549790 2691445 2954025 3229734 4249650 4844601 5382890 5908050 6374475 8074335 9689202 12748950 13457225 16148670 24223005 26914450 40371675 48446010 80743350 121115025 242230050