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242300353200 = 24352201916961
BaseRepresentation
bin1110000110101000111…
…0011111101010110000
3212011102022212021100120
43201222032133222300
512432212342300300
6303151121250240
723335300006623
oct3415216375260
9764368767316
10242300353200
1193839261694
123ab61a93980
1319b05b3b579
14ba27daddba
156481d9c3a0
hex386a39fab0

242300353200 has 60 divisors (see below), whose sum is σ = 776168801928. Its totient is φ = 64613427200.

The previous prime is 242300353193. The next prime is 242300353213. The reversal of 242300353200 is 2353003242.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2423003532002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100957281 + ... + 100959680.

Almost surely, 2242300353200 is an apocalyptic number.

242300353200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242300353200 is an abundant number, since it is smaller than the sum of its proper divisors (533868448728).

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

242300353200 is a wasteful number, since it uses less digits than its factorization.

242300353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201916982 (or 201916971 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 242300353200 its reverse (2353003242), we get a palindrome (244653356442).

The spelling of 242300353200 in words is "two hundred forty-two billion, three hundred million, three hundred fifty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 201916961 403833922 605750883 807667844 1009584805 1211501766 1615335688 2019169610 2423003532 3028754415 3230671376 4038339220 4846007064 5047924025 6057508830 8076678440 9692014128 10095848050 12115017660 15143772075 16153356880 20191696100 24230035320 30287544150 40383392200 48460070640 60575088300 80766784400 121150176600 242300353200