Search a number
-
+
3200231320 = 2351113243037
BaseRepresentation
bin1011111010111111…
…1010011110011000
322021000210121001221
42332233322132120
523023224400240
61245320021424
7142206342316
oct27657723630
98230717057
103200231320
1113a24a1180
12753901874
133c001cc00
142250490b6
1513ae46a4a
hexbebfa798

3200231320 has 96 divisors (see below), whose sum is σ = 8506030320. Its totient is φ = 1074178560.

The previous prime is 3200231297. The next prime is 3200231327. The reversal of 3200231320 is 231320023.

It is a junction number, because it is equal to n+sod(n) for n = 3200231294 and 3200231303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200231327) 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, 52842 + ... + 95878.

Almost surely, 23200231320 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 3200231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253015160).

3200231320 is an abundant number, since it is smaller than the sum of its proper divisors (5305799000).

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

3200231320 is a wasteful number, since it uses less digits than its factorization.

3200231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43085 (or 43068 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3200231320 is about 56570.5870572332. The cubic root of 3200231320 is about 1473.6481065242.

Adding to 3200231320 its reverse (231320023), we get a palindrome (3431551343).

The spelling of 3200231320 in words is "three billion, two hundred million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 169 220 260 286 338 440 520 572 676 715 845 1144 1352 1430 1690 1859 2860 3380 3718 5720 6760 7436 9295 14872 18590 37180 43037 74360 86074 172148 215185 344296 430370 473407 559481 860740 946814 1118962 1721480 1893628 2237924 2367035 2797405 3787256 4475848 4734070 5594810 6154291 7273253 9468140 11189620 12308582 14546506 18936280 22379240 24617164 29093012 30771455 36366265 49234328 58186024 61542910 72732530 80005783 123085820 145465060 160011566 246171640 290930120 320023132 400028915 640046264 800057830 1600115660 3200231320