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22400042031 = 3231434918461
BaseRepresentation
bin10100110111001001…
…011000010000101111
32010211002122000222100
4110313021120100233
5331333402321111
614142422350143
71422044133663
oct246711302057
963732560870
1022400042031
119555270134
12441188b353
13215c9a9753
141126d568a3
158b17ee756
hex53725842f

22400042031 has 24 divisors (see below), whose sum is σ = 33408835200. Its totient is φ = 14447534400.

The previous prime is 22400042003. The next prime is 22400042053. The reversal of 22400042031 is 13024000422.

22400042031 is a `hidden beast` number, since 2 + 240 + 0 + 0 + 420 + 3 + 1 = 666.

It is not a de Polignac number, because 22400042031 - 211 = 22400039983 is a prime.

It is a super-2 number, since 2×224000420312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22400041995 and 22400042013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400041031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204141 + ... + 1222601.

It is an arithmetic number, because the mean of its divisors is an integer number (1392034800).

Almost surely, 222400042031 is an apocalyptic number.

22400042031 is a deficient number, since it is larger than the sum of its proper divisors (11008793169).

22400042031 is a wasteful number, since it uses less digits than its factorization.

22400042031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22847 (or 22844 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22400042031 its reverse (13024000422), we get a palindrome (35424042453).

The spelling of 22400042031 in words is "twenty-two billion, four hundred million, forty-two thousand, thirty-one".

Divisors: 1 3 9 31 93 279 4349 13047 18461 39141 55383 134819 166149 404457 572291 1213371 1716873 5150619 80286889 240860667 722582001 2488893559 7466680677 22400042031