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242323312200 = 23352403872187
BaseRepresentation
bin1110000110101110011…
…0000100111001001000
3212011110221001201011220
43201223212010321020
512432234231442300
6303153301322040
723335666111524
oct3415346047110
9764427051156
10242323312200
1193850213072
123ab69706320
1319b0a819788
14ba2b068d84
156483dd4da0
hex386b984e48

242323312200 has 48 divisors (see below), whose sum is σ = 751202269680. Its totient is φ = 64619549760.

The previous prime is 242323312157. The next prime is 242323312201. The reversal of 242323312200 is 2213323242.

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

It is not an unprimeable number, because it can be changed into a prime (242323312201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 201935494 + ... + 201936693.

It is an arithmetic number, because the mean of its divisors is an integer number (15650047285).

Almost surely, 2242323312200 is an apocalyptic number.

242323312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242323312200 is an abundant number, since it is smaller than the sum of its proper divisors (508878957480).

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

242323312200 is a wasteful number, since it uses less digits than its factorization.

242323312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403872206 (or 403872197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 242323312200 its reverse (2213323242), we get a palindrome (244536635442).

The spelling of 242323312200 in words is "two hundred forty-two billion, three hundred twenty-three million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 403872187 807744374 1211616561 1615488748 2019360935 2423233122 3230977496 4038721870 4846466244 6058082805 8077443740 9692932488 10096804675 12116165610 16154887480 20193609350 24232331220 30290414025 40387218700 48464662440 60580828050 80774437400 121161656100 242323312200