Search a number
-
+
202334043032 = 231116782316729
BaseRepresentation
bin1011110001110000001…
…1000111101110011000
3201100021000012100121122
42330130003013232120
511303340003334112
6232541224424412
720422011663122
oct2743403075630
9640230170548
10202334043032
117889a324290
1233269318108
1316106a53624
149b16092212
1553e331c872
hex2f1c0c7b98

202334043032 has 64 divisors (see below), whose sum is σ = 416874124800. Its totient is φ = 91302762240.

The previous prime is 202334043031. The next prime is 202334043047. The reversal of 202334043032 is 230340433202.

202334043032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2023340430323 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202334042992 and 202334043010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202334043031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12086444 + ... + 12103172.

It is an arithmetic number, because the mean of its divisors is an integer number (6513658200).

Almost surely, 2202334043032 is an apocalyptic number.

202334043032 is a gapful number since it is divisible by the number (22) 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 202334043032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208437062400).

202334043032 is an abundant number, since it is smaller than the sum of its proper divisors (214540081768).

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

202334043032 is a wasteful number, since it uses less digits than its factorization.

202334043032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17736 (or 17732 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 202334043032 its reverse (230340433202), we get a palindrome (432674476234).

The spelling of 202334043032 in words is "two hundred two billion, three hundred thirty-four million, forty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 167 334 668 823 1336 1646 1837 3292 3674 6584 7348 9053 14696 16729 18106 33458 36212 66916 72424 133832 137441 184019 274882 368038 549764 736076 1099528 1472152 1511851 2793743 3023702 5587486 6047404 11174972 12094808 13767967 22349944 27535934 30731173 55071868 61462346 110143736 122924692 151447637 245849384 302895274 605790548 1211581096 2299250489 4598500978 9197001956 18394003912 25291755379 50583510758 101167021516 202334043032