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2133520350 = 2352134723279
BaseRepresentation
bin111111100101010…
…1110111111011110
312111200121001201020
41333022232333132
513332140122400
6551412425010
7103604423643
oct17712567736
95450531636
102133520350
119a5353465
124b6618166
132800262a0
141634d3dca
15c74892a0
hex7f2aefde

2133520350 has 96 divisors (see below), whose sum is σ = 5819627520. Its totient is φ = 513978240.

The previous prime is 2133520327. The next prime is 2133520387. The reversal of 2133520350 is 530253312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2133520350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80011 + ... + 103289.

It is an arithmetic number, because the mean of its divisors is an integer number (60621120).

Almost surely, 22133520350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133520350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909813760).

2133520350 is an abundant number, since it is smaller than the sum of its proper divisors (3686107170).

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

2133520350 is a wasteful number, since it uses less digits than its factorization.

2133520350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23354 (or 23349 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 2133520350 is about 46190.0460056060. The cubic root of 2133520350 is about 1287.3567955847.

Adding to 2133520350 its reverse (530253312), we get a palindrome (2663773662).

The spelling of 2133520350 in words is "two billion, one hundred thirty-three million, five hundred twenty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 47 50 65 75 78 94 130 141 150 195 235 282 325 390 470 611 650 705 975 1175 1222 1410 1833 1950 2350 3055 3525 3666 6110 7050 9165 15275 18330 23279 30550 45825 46558 69837 91650 116395 139674 232790 302627 349185 581975 605254 698370 907881 1094113 1163950 1513135 1745925 1815762 2188226 3026270 3282339 3491850 4539405 5470565 6564678 7565675 9078810 10941130 14223469 15131350 16411695 22697025 27352825 28446938 32823390 42670407 45394050 54705650 71117345 82058475 85340814 142234690 164116950 213352035 355586725 426704070 711173450 1066760175 2133520350