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23124224432 = 24171096431213
BaseRepresentation
bin10101100010010011…
…111010100110110000
32012200120022022110202
4111202103322212300
5334324300140212
614342332214332
71446016443641
oct254223724660
965616268422
1023124224432
119897027091
12459430a3a8
132246a34b4a
1411951c76c8
1590519c0c2
hex5624fa9b0

23124224432 has 80 divisors (see below), whose sum is σ = 47987866080. Its totient is φ = 10756509696.

The previous prime is 23124224419. The next prime is 23124224503. The reversal of 23124224432 is 23442242132.

It is a junction number, because it is equal to n+sod(n) for n = 23124224395 and 23124224404.

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 15 ways as a sum of consecutive naturals, for example, 19063058 + ... + 19064270.

It is an arithmetic number, because the mean of its divisors is an integer number (599848326).

Almost surely, 223124224432 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 23124224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23993933040).

23124224432 is an abundant number, since it is smaller than the sum of its proper divisors (24863641648).

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

23124224432 is a wasteful number, since it uses less digits than its factorization.

23124224432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1984 counting only the distinct ones).

The product of its digits is 18432, while the sum is 29.

Adding to 23124224432 its reverse (23442242132), we get a palindrome (46566466564).

The spelling of 23124224432 in words is "twenty-three billion, one hundred twenty-four million, two hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 436 643 872 1213 1286 1744 1853 2426 2572 3706 4852 5144 7412 9704 10288 10931 14824 19408 20621 21862 29648 41242 43724 70087 82484 87448 132217 140174 164968 174896 264434 280348 329936 528868 560696 779959 1057736 1121392 1191479 1559918 2115472 2247689 2382958 3119836 4495378 4765916 6239672 8990756 9531832 12479344 13259303 17981512 19063664 26518606 35963024 53037212 85015531 106074424 170031062 212148848 340062124 680124248 1360248496 1445264027 2890528054 5781056108 11562112216 23124224432