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1352223132 = 2231341533989
BaseRepresentation
bin101000010011001…
…0100100110011100
310111020110001102020
41100212110212130
510232132120012
6342102500140
745336464331
oct12046244634
93436401366
101352223132
11634327287
12318a34650
131871c1240
14cb836988
157daa8a8c
hex5099499c

1352223132 has 96 divisors (see below), whose sum is σ = 3547333440. Its totient is φ = 398161920.

The previous prime is 1352223077. The next prime is 1352223133. The reversal of 1352223132 is 2313222531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352223133) 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, 336994 + ... + 340982.

It is an arithmetic number, because the mean of its divisors is an integer number (36951390).

Almost surely, 21352223132 is an apocalyptic number.

1352223132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773666720).

1352223132 is an abundant number, since it is smaller than the sum of its proper divisors (2195110308).

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

1352223132 is a wasteful number, since it uses less digits than its factorization.

1352223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4101 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 1352223132 is about 36772.5866917191. The cubic root of 1352223132 is about 1105.8157900889.

Adding to 1352223132 its reverse (2313222531), we get a palindrome (3665445663).

The spelling of 1352223132 in words is "one billion, three hundred fifty-two million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 53 78 82 106 123 156 159 164 212 246 318 492 533 636 689 1066 1378 1599 2067 2132 2173 2756 3198 3989 4134 4346 6396 6519 7978 8268 8692 11967 13038 15956 23934 26076 28249 47868 51857 56498 84747 103714 112996 155571 163549 169494 207428 211417 311142 327098 338988 422834 490647 622284 634251 654196 845668 981294 1268502 1962588 2126137 2537004 2748421 4252274 5496842 6378411 8245263 8504548 8668097 10993684 12756822 16490526 17336194 25513644 26004291 32981052 34672388 52008582 104017164 112685261 225370522 338055783 450741044 676111566 1352223132