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242244222252 = 223194397254729
BaseRepresentation
bin1110000110011011100…
…0010111110100101100
3212011021102020112011120
43201212320113310230
512432104010103002
6303141354220540
723334015625554
oct3414670276454
9764242215146
10242244222252
119380a60367a
123ab47124750
1319ac73176a6
14ba2075c164
15647beb0cbc
hex3866e17d2c

242244222252 has 96 divisors (see below), whose sum is σ = 615101625600. Its totient is φ = 73948557312.

The previous prime is 242244222251. The next prime is 242244222257. The reversal of 242244222252 is 252222442242.

It is not an unprimeable number, because it can be changed into a prime (242244222251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823624 + ... + 1078352.

It is an arithmetic number, because the mean of its divisors is an integer number (6407308600).

Almost surely, 2242244222252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242244222252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307550812800).

242244222252 is an abundant number, since it is smaller than the sum of its proper divisors (372857403348).

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

242244222252 is a wasteful number, since it uses less digits than its factorization.

242244222252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254895 (or 254893 counting only the distinct ones).

The product of its digits is 81920, while the sum is 33.

Adding to 242244222252 its reverse (252222442242), we get a palindrome (494466664494).

The spelling of 242244222252 in words is "two hundred forty-two billion, two hundred forty-four million, two hundred twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 97 114 129 172 194 228 258 291 388 516 582 817 1164 1634 1843 2451 3268 3686 4171 4902 5529 7372 8342 9804 11058 12513 16684 22116 25026 50052 79249 158498 237747 254729 316996 475494 509458 764187 950988 1018916 1528374 3056748 4839851 9679702 10953347 14519553 19359404 21906694 24708713 29039106 32860041 43813388 49417426 58078212 65720082 74126139 98834852 131440164 148252278 208113593 296504556 416227186 469465547 624340779 832454372 938931094 1062474659 1248681558 1408396641 1877862188 2124949318 2497363116 2816793282 3187423977 4249898636 5633586564 6374847954 12749695908 20187018521 40374037042 60561055563 80748074084 121122111126 242244222252