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442222421100 = 223524313420127
BaseRepresentation
bin1100110111101101000…
…00101010010001101100
31120021110020111121002220
412123312200222101230
524221132414433400
6535053145115340
743643453362425
oct6336640522154
91507406447086
10442222421100
11160600034299
1271857488b50
1332916c72675
14175919a664c
15b78357a7a0
hex66f682a46c

442222421100 has 72 divisors (see below), whose sum is σ = 1282465916928. Its totient is φ = 117652334400.

The previous prime is 442222421071. The next prime is 442222421131. The reversal of 442222421100 is 1124222244.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1580764 + ... + 1839363.

It is an arithmetic number, because the mean of its divisors is an integer number (17812026624).

Almost surely, 2442222421100 is an apocalyptic number.

It is an amenable number.

442222421100 is an abundant number, since it is smaller than the sum of its proper divisors (840243495828).

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

442222421100 is a wasteful number, since it uses less digits than its factorization.

442222421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420575 (or 3420568 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 442222421100 its reverse (1124222244), we get a palindrome (443346643344).

The spelling of 442222421100 in words is "four hundred forty-two billion, two hundred twenty-two million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 431 862 1293 1724 2155 2586 4310 5172 6465 8620 10775 12930 21550 25860 32325 43100 64650 129300 3420127 6840254 10260381 13680508 17100635 20520762 34201270 41041524 51301905 68402540 85503175 102603810 171006350 205207620 256509525 342012700 513019050 1026038100 1474074737 2948149474 4422224211 5896298948 7370373685 8844448422 14740747370 17688896844 22111121055 29481494740 36851868425 44222242110 73703736850 88444484220 110555605275 147407473700 221111210550 442222421100