Search a number
-
+
10033232224 = 252346329443
BaseRepresentation
bin10010101100000011…
…01111100101100000
3221220020022000011111
421112001233211200
5131022001412344
64335330553104
7503430031621
oct112601574540
927806260144
1010033232224
114289552964
121b40138794
13c3b854702
146b2733a48
153dac74834
hex25606f960

10033232224 has 48 divisors (see below), whose sum is σ = 20656968192. Its totient is φ = 4787975808.

The previous prime is 10033232213. The next prime is 10033232249. The reversal of 10033232224 is 42223233001.

It is a junction number, because it is equal to n+sod(n) for n = 10033232195 and 10033232204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326047 + ... + 355489.

It is an arithmetic number, because the mean of its divisors is an integer number (430353504).

Almost surely, 210033232224 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 10033232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10328484096).

10033232224 is an abundant number, since it is smaller than the sum of its proper divisors (10623735968).

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

10033232224 is a wasteful number, since it uses less digits than its factorization.

10033232224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29939 (or 29931 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10033232224 its reverse (42223233001), we get a palindrome (52256465225).

The spelling of 10033232224 in words is "ten billion, thirty-three million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 463 736 926 1852 3704 7408 10649 14816 21298 29443 42596 58886 85192 117772 170384 235544 340768 471088 677189 942176 1354378 2708756 5417512 10835024 13632109 21670048 27264218 54528436 109056872 218113744 313538507 436227488 627077014 1254154028 2508308056 5016616112 10033232224