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442220220020 = 225101637934319
BaseRepresentation
bin1100110111101100110…
…00010000111001110100
31120021110002100202210102
412123312120100321310
524221131334020040
6535053030013232
743643425564325
oct6336630207164
91507402322712
10442220220020
111605a9870617
12718567a7218
1332916681857
141759159244c
15b783293515
hex66f6610e74

442220220020 has 48 divisors (see below), whose sum is σ = 938031494400. Its totient is φ = 175104163200.

The previous prime is 442220220007. The next prime is 442220220031. The reversal of 442220220020 is 20022022244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 442220219974 and 442220220001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12868421 + ... + 12902739.

It is an arithmetic number, because the mean of its divisors is an integer number (19542322800).

Almost surely, 2442220220020 is an apocalyptic number.

It is an amenable number.

442220220020 is an abundant number, since it is smaller than the sum of its proper divisors (495811274380).

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

442220220020 is a wasteful number, since it uses less digits than its factorization.

442220220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40808 (or 40806 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 442220220020 its reverse (20022022244), we get a palindrome (462242242264).

The spelling of 442220220020 in words is "four hundred forty-two billion, two hundred twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 6379 12758 25516 31895 34319 63790 68638 127580 137276 171595 343190 644279 686380 1288558 2577116 3221395 3466219 6442790 6932438 12885580 13864876 17331095 34662190 69324380 218920901 437841802 875683604 1094604505 2189209010 4378418020 22111011001 44222022002 88444044004 110555055005 221110110010 442220220020