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442204422 = 23112679091
BaseRepresentation
bin11010010110111…
…000000100000110
31010211002022102120
4122112320010012
51401201020142
6111513550410
713646450502
oct3226700406
91124068376
10442204422
11207681800
12104115406
13707ca62a
1442a2d302
1528c4d7ec
hex1a5b8106

442204422 has 48 divisors (see below), whose sum is σ = 986736576. Its totient is φ = 131986800.

The previous prime is 442204403. The next prime is 442204471. The reversal of 442204422 is 224402244.

It is a junction number, because it is equal to n+sod(n) for n = 442204392 and 442204401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44097 + ... + 53187.

It is an arithmetic number, because the mean of its divisors is an integer number (20557012).

Almost surely, 2442204422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442204422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493368288).

442204422 is an abundant number, since it is smaller than the sum of its proper divisors (544532154).

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

442204422 is a wasteful number, since it uses less digits than its factorization.

442204422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9185 (or 9174 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 442204422 is about 21028.6571611218. The cubic root of 442204422 is about 761.8585755821.

Adding to 442204422 its reverse (224402244), we get a palindrome (666606666).

The spelling of 442204422 in words is "four hundred forty-two million, two hundred four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 67 121 134 201 242 363 402 726 737 1474 2211 4422 8107 9091 16214 18182 24321 27273 48642 54546 100001 200002 300003 600006 609097 1100011 1218194 1827291 2200022 3300033 3654582 6600066 6700067 13400134 20100201 40200402 73700737 147401474 221102211 442204422