Search a number
-
+
2033134110 = 2325712725411
BaseRepresentation
bin111100100101111…
…0010101000011110
312020200200220200100
41321023302220132
513130440242420
6533425041530
7101245232460
oct17113625036
95220626610
102033134110
11953718827
12488a862a6
132652a8a47
14154042130
15bd75a190
hex792f2a1e

2033134110 has 96 divisors (see below), whose sum is σ = 6089121792. Its totient is φ = 461039040.

The previous prime is 2033134109. The next prime is 2033134123. The reversal of 2033134110 is 114313302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67305 + ... + 92715.

It is an arithmetic number, because the mean of its divisors is an integer number (63428352).

Almost surely, 22033134110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033134110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044560896).

2033134110 is an abundant number, since it is smaller than the sum of its proper divisors (4055987682).

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

2033134110 is a wasteful number, since it uses less digits than its factorization.

2033134110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25558 (or 25555 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2033134110 is about 45090.2884222312. The cubic root of 2033134110 is about 1266.8407037720.

Adding to 2033134110 its reverse (114313302), we get a palindrome (2147447412).

It can be divided in two parts, 203 and 3134110, that added together give a palindrome (3134313).

The spelling of 2033134110 in words is "two billion, thirty-three million, one hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 127 210 254 315 381 630 635 762 889 1143 1270 1778 1905 2286 2667 3810 4445 5334 5715 8001 8890 11430 13335 16002 25411 26670 40005 50822 76233 80010 127055 152466 177877 228699 254110 355754 381165 457398 533631 762330 889385 1067262 1143495 1600893 1778770 2286990 2668155 3201786 3227197 5336310 6454394 8004465 9681591 16008930 16135985 19363182 22590379 29044773 32271970 45180758 48407955 58089546 67771137 96815910 112951895 135542274 145223865 203313411 225903790 290447730 338855685 406626822 677711370 1016567055 2033134110