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242631244200 = 23352404385407
BaseRepresentation
bin1110000111110111110…
…0101111100110101000
3212012021101111021110210
43201331330233212220
512433402044303300
6303244021341120
723346425355462
oct3417574574650
9765241437423
10242631244200
1193999014a24
123b0348677a0
1319b59563a67
14ba59d05132
1564a0e5e050
hex387df2f9a8

242631244200 has 48 divisors (see below), whose sum is σ = 752156858880. Its totient is φ = 64701664960.

The previous prime is 242631244189. The next prime is 242631244237. The reversal of 242631244200 is 2442136242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202192104 + ... + 202193303.

It is an arithmetic number, because the mean of its divisors is an integer number (15669934560).

Almost surely, 2242631244200 is an apocalyptic number.

242631244200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242631244200 is an abundant number, since it is smaller than the sum of its proper divisors (509525614680).

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

242631244200 is a wasteful number, since it uses less digits than its factorization.

242631244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404385426 (or 404385417 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 242631244200 in words is "two hundred forty-two billion, six hundred thirty-one million, two hundred forty-four 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 404385407 808770814 1213156221 1617541628 2021927035 2426312442 3235083256 4043854070 4852624884 6065781105 8087708140 9705249768 10109635175 12131562210 16175416280 20219270350 24263124420 30328905525 40438540700 48526248840 60657811050 80877081400 121315622100 242631244200