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442004442222 = 237372417117679
BaseRepresentation
bin1100110111010011000…
…01001000110001101110
31120020220001100010022010
412123221201020301232
524220211114122342
6535015401102050
743635165524460
oct6335141106156
91506801303263
10442004442222
111604a8a91562
12717b6487926
13328b0a61b95
1417570a64130
15b76e36e29c
hex66e9848c6e

442004442222 has 64 divisors (see below), whose sum is σ = 1038039275520. Its totient is φ = 122821940736.

The previous prime is 442004442161. The next prime is 442004442223. The reversal of 442004442222 is 222244400244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442004442222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442004442223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3697179 + ... + 3814857.

It is an arithmetic number, because the mean of its divisors is an integer number (16219363680).

Almost surely, 2442004442222 is an apocalyptic number.

442004442222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442004442222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519019637760).

442004442222 is an abundant number, since it is smaller than the sum of its proper divisors (596034833298).

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

442004442222 is a wasteful number, since it uses less digits than its factorization.

442004442222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120145.

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 442004442222 its reverse (222244400244), we get a palindrome (664248842466).

The spelling of 442004442222 in words is "four hundred forty-two billion, four million, four hundred forty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1554 2417 4834 7251 14502 16919 33838 50757 89429 101514 117679 178858 235358 268287 353037 536574 626003 706074 823753 1252006 1647506 1878009 2471259 3756018 4354123 4942518 8708246 13062369 26124738 30478861 60957722 91436583 182873166 284430143 568860286 853290429 1706580858 1991011001 3982022002 5973033003 10523915291 11946066006 21047830582 31571745873 63143491746 73667407037 147334814074 221002221111 442004442222