Search a number
-
+
1332000200 = 235267107929
BaseRepresentation
bin100111101100100…
…1011010111001000
310102211101121202202
41033121023113020
510211443001300
6340101215332
745002546336
oct11731132710
93384347682
101332000200
11623974513
12312101548
13182c604cb
14c8c90b56
157be11ad5
hex4f64b5c8

1332000200 has 96 divisors (see below), whose sum is σ = 3175912800. Its totient is φ = 519383040.

The previous prime is 1332000199. The next prime is 1332000203. The reversal of 1332000200 is 20002331.

It is not an unprimeable number, because it can be changed into a prime (1332000203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1433336 + ... + 1434264.

It is an arithmetic number, because the mean of its divisors is an integer number (33082425).

Almost surely, 21332000200 is an apocalyptic number.

1332000200 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 1332000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587956400).

1332000200 is an abundant number, since it is smaller than the sum of its proper divisors (1843912600).

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

1332000200 is a wasteful number, since it uses less digits than its factorization.

1332000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1332000200 is about 36496.5779217723. The cubic root of 1332000200 is about 1100.2754682000.

Adding to 1332000200 its reverse (20002331), we get a palindrome (1352002531).

The spelling of 1332000200 in words is "one billion, three hundred thirty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 107 134 200 214 268 335 428 535 536 670 856 929 1070 1340 1675 1858 2140 2675 2680 3350 3716 4280 4645 5350 6700 7169 7432 9290 10700 13400 14338 18580 21400 23225 28676 35845 37160 46450 57352 62243 71690 92900 99403 124486 143380 179225 185800 198806 248972 286760 311215 358450 397612 497015 497944 622430 716900 795224 994030 1244860 1433800 1556075 1988060 2485075 2489720 3112150 3976120 4970150 6224300 6660001 9940300 12448600 13320002 19880600 26640004 33300005 53280008 66600010 133200020 166500025 266400040 333000050 666000100 1332000200