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221030400040 = 23555011004501
BaseRepresentation
bin1100110111011001110…
…0000100000000101000
3210010111222200200212121
43031312130010000220
512110132240300130
6245312344321024
721653224254442
oct3156634040050
9703458620777
10221030400040
1185813997aaa
1236a06773174
1317ac6319078
14a9ab189492
155b398c8d7a
hex3376704028

221030400040 has 32 divisors (see below), whose sum is σ = 497409300360. Its totient is φ = 88396000000.

The previous prime is 221030400037. The next prime is 221030400079. The reversal of 221030400040 is 40004030122.

It can be written as a sum of positive squares in 4 ways, for example, as 211925805316 + 9104594724 = 460354^2 + 95418^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221030399987 and 221030400023.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282211 + ... + 722290.

Almost surely, 2221030400040 is an apocalyptic number.

221030400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221030400040 is an abundant number, since it is smaller than the sum of its proper divisors (276378900320).

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

221030400040 is a wasteful number, since it uses less digits than its factorization.

221030400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010013 (or 1010009 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 221030400040 its reverse (40004030122), we get a palindrome (261034430162).

The spelling of 221030400040 in words is "two hundred twenty-one billion, thirty million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 5501 11002 22004 27505 44008 55010 110020 220040 1004501 2009002 4018004 5022505 8036008 10045010 20090020 40180040 5525760001 11051520002 22103040004 27628800005 44206080008 55257600010 110515200020 221030400040