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2204042440 = 235473833061
BaseRepresentation
bin1000001101011111…
…0000010011001000
312200121021221211111
42003113300103020
514003213324230
61002412140104
7105422023465
oct20327602310
95617257744
102204042440
11a31140786
12516167634
13291818632
1416ca1066c
15cd76992a
hex835f04c8

2204042440 has 64 divisors (see below), whose sum is σ = 5079490560. Its totient is φ = 860325120.

The previous prime is 2204042429. The next prime is 2204042473. The reversal of 2204042440 is 442404022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718510 + ... + 721570.

It is an arithmetic number, because the mean of its divisors is an integer number (79367040).

Almost surely, 22204042440 is an apocalyptic number.

2204042440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539745280).

2204042440 is an abundant number, since it is smaller than the sum of its proper divisors (2875448120).

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

2204042440 is a wasteful number, since it uses less digits than its factorization.

2204042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2204042440 is about 46947.2303762426. The cubic root of 2204042440 is about 1301.3875598760.

Adding to 2204042440 its reverse (442404022), we get a palindrome (2646446462).

The spelling of 2204042440 in words is "two billion, two hundred four million, forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 383 470 766 940 1532 1880 1915 3061 3064 3830 6122 7660 12244 15305 15320 18001 24488 30610 36002 61220 72004 90005 122440 143867 144008 180010 287734 360020 575468 719335 720040 1150936 1172363 1438670 2344726 2877340 4689452 5754680 5861815 9378904 11723630 23447260 46894520 55101061 110202122 220404244 275505305 440808488 551010610 1102021220 2204042440