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1330222344 = 2331129293593
BaseRepresentation
bin100111101001001…
…1001010100001000
310102201001022000020
41033102121110020
510211014103334
6335555140440
744651463153
oct11722312410
93381038006
101330222344
1162296a810
123115a4720
1318278a219
14c894ac9a
157bbaee49
hex4f499508

1330222344 has 128 divisors (see below), whose sum is σ = 3772137600. Its totient is φ = 387215360.

The previous prime is 1330222343. The next prime is 1330222351. The reversal of 1330222344 is 4432220331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1330222343) by changing a digit.

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, 2242912 + ... + 2243504.

It is an arithmetic number, because the mean of its divisors is an integer number (29469825).

Almost surely, 21330222344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330222344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886068800).

1330222344 is an abundant number, since it is smaller than the sum of its proper divisors (2441915256).

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

1330222344 is a wasteful number, since it uses less digits than its factorization.

1330222344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1330222344 is about 36472.2133136995. The cubic root of 1330222344 is about 1099.7857279610.

Adding to 1330222344 its reverse (4432220331), we get a palindrome (5762442675).

The spelling of 1330222344 in words is "one billion, three hundred thirty million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 293 319 348 586 593 638 696 879 957 1172 1186 1276 1758 1779 1914 2344 2372 2552 3223 3516 3558 3828 4744 6446 6523 7032 7116 7656 8497 9669 12892 13046 14232 16994 17197 19338 19569 25491 25784 26092 33988 34394 38676 39138 50982 51591 52184 67976 68788 77352 78276 93467 101964 103182 137576 156552 173749 186934 189167 203928 206364 280401 347498 373868 378334 412728 521247 560802 567501 694996 747736 756668 1042494 1121604 1135002 1389992 1513336 1911239 2084988 2243208 2270004 3822478 4169976 4540008 5038721 5733717 7644956 10077442 11467434 15116163 15289912 20154884 22934868 30232326 40309768 45869736 55425931 60464652 110851862 120929304 166277793 221703724 332555586 443407448 665111172 1330222344