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442050228 = 2232471371907
BaseRepresentation
bin11010010110010…
…010011010110100
31010210210110220200
4122112102122310
51401131101403
6111510400500
713645236114
oct3226223264
91123713820
10442050228
11207586974
12104060130
13707753a9
14429cd044
1528c1cca3
hex1a5926b4

442050228 has 72 divisors (see below), whose sum is σ = 1150111872. Its totient is φ = 143087232.

The previous prime is 442050227. The next prime is 442050229. The reversal of 442050228 is 822050244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442050227) and next prime (442050229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442050227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230851 + ... + 232757.

It is an arithmetic number, because the mean of its divisors is an integer number (15973776).

Almost surely, 2442050228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442050228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575055936).

442050228 is an abundant number, since it is smaller than the sum of its proper divisors (708061644).

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

442050228 is a wasteful number, since it uses less digits than its factorization.

442050228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 442050228 is about 21024.9905588564. The cubic root of 442050228 is about 761.7700134660.

The spelling of 442050228 in words is "four hundred forty-two million, fifty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 137 141 188 274 282 411 423 548 564 822 846 1233 1644 1692 1907 2466 3814 4932 5721 6439 7628 11442 12878 17163 19317 22884 25756 34326 38634 57951 68652 77268 89629 115902 179258 231804 261259 268887 358516 522518 537774 783777 806661 1045036 1075548 1567554 1613322 2351331 3135108 3226644 4702662 9405324 12279173 24558346 36837519 49116692 73675038 110512557 147350076 221025114 442050228