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5003132224 = 262331310859
BaseRepresentation
bin1001010100011010…
…11011110101000000
3110220200021110011111
410222031123311000
540221300212344
62144242253104
7234660631216
oct45215336500
913820243144
105003132224
112138157322
12b77657194
136196b748c
14356678cb6
151e4374834
hex12a35bd40

5003132224 has 56 divisors (see below), whose sum is σ = 10393801920. Its totient is φ = 2384937984.

The previous prime is 5003132177. The next prime is 5003132237. The reversal of 5003132224 is 4222313005.

It is a junction number, because it is equal to n+sod(n) for n = 5003132195 and 5003132204.

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, 455307 + ... + 466165.

Almost surely, 25003132224 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 5003132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196900960).

5003132224 is an abundant number, since it is smaller than the sum of its proper divisors (5390669696).

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

5003132224 is a wasteful number, since it uses less digits than its factorization.

5003132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11207 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 5003132224 is about 70732.8228193955. The cubic root of 5003132224 is about 1710.3329406547.

Adding to 5003132224 its reverse (4222313005), we get a palindrome (9225445229).

The spelling of 5003132224 in words is "five billion, three million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 313 368 626 736 1252 1472 2504 5008 7199 10016 10859 14398 20032 21718 28796 43436 57592 86872 115184 173744 230368 249757 347488 460736 499514 694976 999028 1998056 3398867 3996112 6797734 7992224 13595468 15984448 27190936 54381872 78173941 108763744 156347882 217527488 312695764 625391528 1250783056 2501566112 5003132224