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1332312200 = 2352292892
BaseRepresentation
bin100111101101001…
…0111100010001000
310102211222110202022
41033122113202020
510212032442300
6340112024012
745005316062
oct11732274210
93384873668
101332312200
1162406796a
12312232008
1318303c51b
14c8d32732
157be74285
hex4f697888

1332312200 has 108 divisors (see below), whose sum is σ = 3244575165. Its totient is φ = 508766720.

The previous prime is 1332312199. The next prime is 1332312277. The reversal of 1332312200 is 22132331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 251349316 + 1080962884 = 15854^2 + 32878^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=25810.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14969756 + ... + 14969844.

Almost surely, 21332312200 is an apocalyptic number.

1332312200 is a gapful number since it is divisible by the number (10) 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 1332312200

1332312200 is an abundant number, since it is smaller than the sum of its proper divisors (1912262965).

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

1332312200 is an equidigital number, since it uses as much as digits as its factorization.

1332312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1332312200 is about 36500.8520448496. The cubic root of 1332312200 is about 1100.3613688744.

Adding to 1332312200 its reverse (22132331), we get a palindrome (1354444531).

The spelling of 1332312200 in words is "one billion, three hundred thirty-two million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 89 100 116 145 178 200 232 290 356 445 580 712 725 841 890 1160 1450 1682 1780 2225 2581 2900 3364 3560 4205 4450 5162 5800 6728 7921 8410 8900 10324 12905 15842 16820 17800 20648 21025 25810 31684 33640 39605 42050 51620 63368 64525 74849 79210 84100 103240 129050 149698 158420 168200 198025 229709 258100 299396 316840 374245 396050 459418 516200 598792 748490 792100 918836 1148545 1496980 1584200 1837672 1871225 2297090 2993960 3742450 4594180 5742725 6661561 7484900 9188360 11485450 13323122 14969800 22970900 26646244 33307805 45941800 53292488 66615610 133231220 166539025 266462440 333078050 666156100 1332312200