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442205324 = 221171141551
BaseRepresentation
bin11010010110111…
…000010010001100
31010211002100122222
4122112320102030
51401201032244
6111513554512
713646453231
oct3226702214
91124070588
10442205324
11207682450
12104115a38
13707cab72
1442a2d788
1528c4dbee
hex1a5b848c

442205324 has 24 divisors (see below), whose sum is σ = 856106496. Its totient is φ = 198170000.

The previous prime is 442205321. The next prime is 442205347. The reversal of 442205324 is 423502244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442205293 and 442205302.

It is not an unprimeable number, because it can be changed into a prime (442205321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67652 + ... + 73899.

It is an arithmetic number, because the mean of its divisors is an integer number (35671104).

Almost surely, 2442205324 is an apocalyptic number.

442205324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442205324 is a deficient number, since it is larger than the sum of its proper divisors (413901172).

442205324 is a wasteful number, since it uses less digits than its factorization.

442205324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141637 (or 141635 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 442205324 is about 21028.6786080343. The cubic root of 442205324 is about 761.8590935898.

Adding to 442205324 its reverse (423502244), we get a palindrome (865707568).

The spelling of 442205324 in words is "four hundred forty-two million, two hundred five thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 71 142 284 781 1562 3124 141551 283102 566204 1557061 3114122 6228244 10050121 20100242 40200484 110551331 221102662 442205324