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4400222022 = 233773159463
BaseRepresentation
bin1000001100100011…
…00000111101000110
3102100122210102212000
410012101200331012
533002424101042
62004344010130
7214020161430
oct40621407506
912318712760
104400222022
1119588a0a29
12a29760946
13551810091
142da575650
151ab47e74c
hex106460f46

4400222022 has 64 divisors (see below), whose sum is σ = 11328322560. Its totient is φ = 1239976512.

The previous prime is 4400221927. The next prime is 4400222041. The reversal of 4400222022 is 2202220044.

4400222022 is a `hidden beast` number, since 440 + 0 + 2 + 220 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4400221986 and 4400222004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52138 + ... + 107325.

It is an arithmetic number, because the mean of its divisors is an integer number (177005040).

Almost surely, 24400222022 is an apocalyptic number.

4400222022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4400222022 is an abundant number, since it is smaller than the sum of its proper divisors (6928100538).

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

4400222022 is a wasteful number, since it uses less digits than its factorization.

4400222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159554 (or 159548 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4400222022 is about 66334.1693397905. The cubic root of 4400222022 is about 1638.6701024570.

Adding to 4400222022 its reverse (2202220044), we get a palindrome (6602442066).

The spelling of 4400222022 in words is "four billion, four hundred million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 438 511 657 1022 1314 1533 1971 3066 3942 4599 9198 13797 27594 159463 318926 478389 956778 1116241 1435167 2232482 2870334 3348723 4305501 6697446 8611002 10046169 11640799 20092338 23281598 30138507 34922397 60277014 69844794 81485593 104767191 162971186 209534382 244456779 314301573 488913558 628603146 733370337 1466740674 2200111011 4400222022