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22004000400 = 2435218336667
BaseRepresentation
bin10100011111100010…
…100110011010010000
32002210111102000222210
4110133202212122100
5330031011003100
614035234032120
71406164626444
oct243742463220
962714360883
1022004000400
1193717591a8
124321118640
1320c8922aa5
1410ca502824
1588bb6dc50
hex51f8a6690

22004000400 has 60 divisors (see below), whose sum is σ = 70486151792. Its totient is φ = 5867733120.

The previous prime is 22004000363. The next prime is 22004000411. The reversal of 22004000400 is 400040022.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9167134 + ... + 9169533.

Almost surely, 222004000400 is an apocalyptic number.

22004000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22004000400 is an abundant number, since it is smaller than the sum of its proper divisors (48482151392).

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

22004000400 is a wasteful number, since it uses less digits than its factorization.

22004000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18336688 (or 18336677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22004000400 its reverse (400040022), we get a palindrome (22404040422).

The spelling of 22004000400 in words is "twenty-two billion, four million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 18336667 36673334 55010001 73346668 91683335 110020002 146693336 183366670 220040004 275050005 293386672 366733340 440080008 458416675 550100010 733466680 880160016 916833350 1100200020 1375250025 1466933360 1833666700 2200400040 2750500050 3667333400 4400800080 5501000100 7334666800 11002000200 22004000400