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22043440100 = 225211139144169
BaseRepresentation
bin10100100001111001…
…000011001111100100
32002220020121210002102
4110201321003033210
5330121110040400
614043203231232
71410154102133
oct244171031744
962806553072
1022043440100
119391a468a0
124332378518
132103b515a6
1410d184b91a
1589035e9d5
hex521e433e4

22043440100 has 72 divisors (see below), whose sum is σ = 52558615200. Its totient is φ = 7958073600.

The previous prime is 22043440093. The next prime is 22043440141. The reversal of 22043440100 is 104434022.

It is a super-4 number, since 4×220434401004 (a number of 42 digits) contains 4444 as substring.

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

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, 80816 + ... + 224984.

Almost surely, 222043440100 is an apocalyptic number.

22043440100 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 22043440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26279307600).

22043440100 is an abundant number, since it is smaller than the sum of its proper divisors (30515175100).

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

22043440100 is a wasteful number, since it uses less digits than its factorization.

22043440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144333 (or 144326 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22043440100 its reverse (104434022), we get a palindrome (22147874122).

The spelling of 22043440100 in words is "twenty-two billion, forty-three million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 139 220 275 278 550 556 695 1100 1390 1529 2780 3058 3475 6116 6950 7645 13900 15290 30580 38225 76450 144169 152900 288338 576676 720845 1441690 1585859 2883380 3171718 3604225 6343436 7208450 7929295 14416900 15858590 20039491 31717180 39646475 40078982 79292950 80157964 100197455 158585900 200394910 220434401 400789820 440868802 500987275 881737604 1001974550 1102172005 2003949100 2204344010 4408688020 5510860025 11021720050 22043440100