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442223106 = 231321292663
BaseRepresentation
bin11010010110111…
…100101000000010
31010211010021001120
4122112330220002
51401202114411
6111514213110
713646556123
oct3226745002
91124107046
10442223106
11207694846
12104124196
1370805ca0
1442a3604a
1528c54106
hex1a5bca02

442223106 has 32 divisors (see below), whose sum is σ = 953285760. Its totient is φ = 135953664.

The previous prime is 442223069. The next prime is 442223179. The reversal of 442223106 is 601322244.

It is a super-2 number, since 2×4422231062 = 391122550960574472, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 164731 + ... + 167393.

It is an arithmetic number, because the mean of its divisors is an integer number (29790180).

Almost surely, 2442223106 is an apocalyptic number.

442223106 is an abundant number, since it is smaller than the sum of its proper divisors (511062654).

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

442223106 is a wasteful number, since it uses less digits than its factorization.

442223106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 442223106 is about 21029.1014073355. The cubic root of 442223106 is about 761.8693054349.

The spelling of 442223106 in words is "four hundred forty-two million, two hundred twenty-three thousand, one hundred six".

Divisors: 1 2 3 6 13 26 39 78 2129 2663 4258 5326 6387 7989 12774 15978 27677 34619 55354 69238 83031 103857 166062 207714 5669527 11339054 17008581 34017162 73703851 147407702 221111553 442223106