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2200400444440 = 2351123019150589
BaseRepresentation
bin100000000001010010000…
…101100011110000011000
321210100121200122012222001
4200001102011203300120
5242022410003210230
64402503334010344
7314654655114412
oct40012205436030
97710550565861
102200400444440
11779203760900
122b65517a69b4
1312c65c81c203
14786ddc0d9b2
153c3866a20ca
hex20052163c18

2200400444440 has 96 divisors (see below), whose sum is σ = 5443738146000. Its totient is φ = 799875267840.

The previous prime is 2200400444419. The next prime is 2200400444447. The reversal of 2200400444440 is 444440040022.

It is a junction number, because it is equal to n+sod(n) for n = 2200400444399 and 2200400444408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200400444447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14536666 + ... + 14687254.

Almost surely, 22200400444440 is an apocalyptic number.

2200400444440 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 2200400444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721869073000).

2200400444440 is an abundant number, since it is smaller than the sum of its proper divisors (3243337701560).

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

2200400444440 is a wasteful number, since it uses less digits than its factorization.

2200400444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153641 (or 153626 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2200400444440 its reverse (444440040022), we get a palindrome (2644840484462).

The spelling of 2200400444440 in words is "two trillion, two hundred billion, four hundred million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 3019 4840 6038 12076 15095 24152 30190 33209 60380 66418 120760 132836 150589 166045 265672 301178 332090 365299 602356 664180 730598 752945 1204712 1328360 1461196 1505890 1656479 1826495 2922392 3011780 3312958 3652990 6023560 6625916 7305980 8282395 13251832 14611960 16564790 18221269 33129580 36442538 66259160 72885076 91106345 145770152 182212690 364425380 454628191 728850760 909256382 1818512764 2273140955 3637025528 4546281910 5000910101 9092563820 10001820202 18185127640 20003640404 25004550505 40007280808 50009101010 55010011111 100018202020 110020022222 200036404040 220040044444 275050055555 440080088888 550100111110 1100200222220 2200400444440