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242168550 = 235213241233
BaseRepresentation
bin11100110111100…
…11001011100110
3121212200102210120
432123303023212
5443443343200
640010302410
76000253521
oct1633631346
9555612716
10242168550
111147748a8
1269127a06
133b22cc00
142423bbb8
15163d89a0
hexe6f32e6

242168550 has 144 divisors (see below), whose sum is σ = 669050928. Its totient is φ = 57907200.

The previous prime is 242168543. The next prime is 242168569. The reversal of 242168550 is 55861242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1039234 + ... + 1039466.

It is an arithmetic number, because the mean of its divisors is an integer number (4646187).

Almost surely, 2242168550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242168550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334525464).

242168550 is an abundant number, since it is smaller than the sum of its proper divisors (426882378).

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

242168550 is a wasteful number, since it uses less digits than its factorization.

242168550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 242168550 is about 15561.7656453244. The cubic root of 242168550 is about 623.3126111165.

The spelling of 242168550 in words is "two hundred forty-two million, one hundred sixty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 41 50 65 75 78 82 123 130 150 169 195 205 233 246 325 338 390 410 466 507 533 615 650 699 845 975 1014 1025 1066 1165 1230 1398 1599 1690 1950 2050 2330 2535 2665 3029 3075 3198 3495 4225 5070 5330 5825 6058 6150 6929 6990 7995 8450 9087 9553 11650 12675 13325 13858 15145 15990 17475 18174 19106 20787 25350 26650 28659 30290 34645 34950 39377 39975 41574 45435 47765 57318 69290 75725 78754 79950 90870 95530 103935 118131 124189 143295 151450 173225 196885 207870 227175 236262 238825 248378 286590 346450 372567 393770 454350 477650 519675 590655 620945 716475 745134 984425 1039350 1181310 1241890 1432950 1614457 1862835 1968850 2953275 3104725 3228914 3725670 4843371 5906550 6209450 8072285 9314175 9686742 16144570 18628350 24216855 40361425 48433710 80722850 121084275 242168550