Search a number
-
+
242563244220 = 223351140835563
BaseRepresentation
bin1110000111100111100…
…1010110000010111100
3212012002122112112001000
43201321321112002330
512433232142303340
6303233152050300
723344641362013
oct3417171260274
9765078475030
10242563244220
119396369a5a0
123b015b33990
1319b4844569b
14ba50c83a7a
156499ecad30
hex3879e560bc

242563244220 has 96 divisors (see below), whose sum is σ = 823244970240. Its totient is φ = 58803209280.

The previous prime is 242563244219. The next prime is 242563244233. The reversal of 242563244220 is 22442365242.

242563244220 is a `hidden beast` number, since 2 + 425 + 6 + 3 + 2 + 4 + 4 + 220 = 666.

242563244220 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20411842 + ... + 20423721.

It is an arithmetic number, because the mean of its divisors is an integer number (8575468440).

Almost surely, 2242563244220 is an apocalyptic number.

242563244220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242563244220 is an abundant number, since it is smaller than the sum of its proper divisors (580681726020).

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

242563244220 is a wasteful number, since it uses less digits than its factorization.

242563244220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40835592 (or 40835584 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 242563244220 in words is "two hundred forty-two billion, five hundred sixty-three million, two hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 40835563 81671126 122506689 163342252 204177815 245013378 367520067 408355630 449191193 490026756 612533445 735040134 816711260 898382386 1102560201 1225066890 1347573579 1470080268 1796764772 1837600335 2205120402 2245955965 2450133780 2695147158 3675200670 4042720737 4410240804 4491911930 5390294316 5512801005 6737867895 7350401340 8085441474 8983823860 11025602010 12128162211 13475735790 16170882948 20213603685 22051204020 24256324422 26951471580 40427207370 48512648844 60640811055 80854414740 121281622110 242563244220