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442220116 = 221317500249
BaseRepresentation
bin11010010110111…
…011111001010100
31010211010002221211
4122112323321110
51401202020431
6111514151204
713646544322
oct3226737124
91124102854
10442220116
11207692578
12104122504
1370804810
1442a34d12
1528c532b1
hex1a5bbe54

442220116 has 24 divisors (see below), whose sum is σ = 882441000. Its totient is φ = 192095232.

The previous prime is 442220113. The next prime is 442220143. The reversal of 442220116 is 611022244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 187690000 + 254530116 = 13700^2 + 15954^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442220113) 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 7 ways as a sum of consecutive naturals, for example, 249241 + ... + 251008.

It is an arithmetic number, because the mean of its divisors is an integer number (36768375).

Almost surely, 2442220116 is an apocalyptic number.

It is an amenable number.

442220116 is a deficient number, since it is larger than the sum of its proper divisors (440220884).

442220116 is a wasteful number, since it uses less digits than its factorization.

442220116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500283 (or 500281 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 442220116 is about 21029.0303152570. The cubic root of 442220116 is about 761.8675883572.

The spelling of 442220116 in words is "four hundred forty-two million, two hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 884 500249 1000498 2000996 6503237 8504233 13006474 17008466 26012948 34016932 110555029 221110058 442220116