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442212552020 = 225171300625153
BaseRepresentation
bin1100110111101011110…
…11000000110101010100
31120021102112221012021102
412123311323000311110
524221122403131040
6535052153405232
743643303446541
oct6336573006524
91507375835242
10442212552020
111605a5503528
1271854109818
1332914bc8585
1417590557bc8
15b78277b515
hex66f5ec0d54

442212552020 has 24 divisors (see below), whose sum is σ = 983272616424. Its totient is φ = 166480019456.

The previous prime is 442212552011. The next prime is 442212552029. The reversal of 442212552020 is 20255212244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442212552011) and next prime (442212552029).

It can be written as a sum of positive squares in 4 ways, for example, as 10723845136 + 431488706884 = 103556^2 + 656878^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442212552029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650312237 + ... + 650312916.

It is an arithmetic number, because the mean of its divisors is an integer number (40969692351).

Almost surely, 2442212552020 is an apocalyptic number.

It is an amenable number.

442212552020 is an abundant number, since it is smaller than the sum of its proper divisors (541060064404).

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

442212552020 is a wasteful number, since it uses less digits than its factorization.

442212552020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300625179 (or 1300625177 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 442212552020 its reverse (20255212244), we get a palindrome (462467764264).

The spelling of 442212552020 in words is "four hundred forty-two billion, two hundred twelve million, five hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1300625153 2601250306 5202500612 6503125765 13006251530 22110627601 26012503060 44221255202 88442510404 110553138005 221106276010 442212552020