Search a number
-
+
4040022222200 = 2352791272013367
BaseRepresentation
bin111010110010100100000…
…101101110010101111000
3112022020000002120020120002
4322302210011232111320
51012142431142102300
612331543253052132
7564611342166506
oct72624405562570
915266002506502
104040022222200
111318400248568
12552b97327048
13233c8465ba13
14dd776853676
15701548d15d5
hex3aca416e578

4040022222200 has 96 divisors (see below), whose sum is σ = 9586853068800. Its totient is φ = 1582988883840.

The previous prime is 4040022222167. The next prime is 4040022222217. The reversal of 4040022222200 is 22222200404.

4040022222200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 999917 + ... + 3013283.

It is an arithmetic number, because the mean of its divisors is an integer number (99863052800).

Almost surely, 24040022222200 is an apocalyptic number.

4040022222200 is a gapful number since it is divisible by the number (40) 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 4040022222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793426534400).

4040022222200 is an abundant number, since it is smaller than the sum of its proper divisors (5546830846600).

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

4040022222200 is a wasteful number, since it uses less digits than its factorization.

4040022222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013589 (or 2013580 counting only the distinct ones).

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

Adding to 4040022222200 its reverse (22222200404), we get a palindrome (4062244422604).

The spelling of 4040022222200 in words is "four trillion, forty billion, twenty-two million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 127 158 200 254 316 395 508 632 635 790 1016 1270 1580 1975 2540 3160 3175 3950 5080 6350 7900 10033 12700 15800 20066 25400 40132 50165 80264 100330 200660 250825 401320 501650 1003300 2006600 2013367 4026734 8053468 10066835 16106936 20133670 40267340 50334175 80534680 100668350 159055993 201336700 255697609 318111986 402673400 511395218 636223972 795279965 1022790436 1272447944 1278488045 1590559930 2045580872 2556976090 3181119860 3976399825 5113952180 6362239720 6392440225 7952799650 10227904360 12784880450 15905599300 20200111111 25569760900 31811198600 40400222222 51139521800 80800444444 101000555555 161600888888 202001111110 404002222220 505002777775 808004444440 1010005555550 2020011111100 4040022222200