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220044040400 = 2452796963419
BaseRepresentation
bin1100110011101110100…
…1011001100011010000
3210000222020200102211002
43030323221121203100
512101122233243100
6245030431241132
721616616324402
oct3147351314320
9700866612732
10220044040400
1185358140448
12367903791a8
1317999b76702
14a91618cb72
155accede2d5
hex333ba598d0

220044040400 has 60 divisors (see below), whose sum is σ = 535347729600. Its totient is φ = 86903456640.

The previous prime is 220044040397. The next prime is 220044040417. The reversal of 220044040400 is 4040440022.

220044040400 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3450110 + ... + 3513309.

It is an arithmetic number, because the mean of its divisors is an integer number (8922462160).

Almost surely, 2220044040400 is an apocalyptic number.

220044040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220044040400 is an abundant number, since it is smaller than the sum of its proper divisors (315303689200).

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

220044040400 is a wasteful number, since it uses less digits than its factorization.

220044040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963516 (or 6963505 counting only the distinct ones).

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

Adding to 220044040400 its reverse (4040440022), we get a palindrome (224084480422).

The spelling of 220044040400 in words is "two hundred twenty billion, forty-four million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 158 200 316 395 400 632 790 1264 1580 1975 3160 3950 6320 7900 15800 31600 6963419 13926838 27853676 34817095 55707352 69634190 111414704 139268380 174085475 278536760 348170950 550110101 557073520 696341900 1100220202 1392683800 2200440404 2750550505 2785367600 4400880808 5501101010 8801761616 11002202020 13752752525 22004404040 27505505050 44008808080 55011010100 110022020200 220044040400