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14224322032 = 2419233754983
BaseRepresentation
bin11010011111101010…
…11110110111110000
31100201022120102112221
431033311132313300
5213112411301112
610311244330424
71012330512424
oct151765366760
940638512487
1014224322032
11603a293748
12290b843a14
131458c308cb
1498d1cab84
15583b93e07
hex34fd5edf0

14224322032 has 80 divisors (see below), whose sum is σ = 31090152960. Its totient is φ = 6270587136.

The previous prime is 14224322017. The next prime is 14224322033. The reversal of 14224322032 is 23022342241.

It is a junction number, because it is equal to n+sod(n) for n = 14224321988 and 14224322006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224322033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231213 + ... + 286195.

It is an arithmetic number, because the mean of its divisors is an integer number (388626912).

Almost surely, 214224322032 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 14224322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15545076480).

14224322032 is an abundant number, since it is smaller than the sum of its proper divisors (16865830928).

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

14224322032 is a wasteful number, since it uses less digits than its factorization.

14224322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55070 (or 55064 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 14224322032 its reverse (23022342241), we get a palindrome (37246664273).

The spelling of 14224322032 in words is "fourteen billion, two hundred twenty-four million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 23 37 38 46 74 76 92 148 152 184 296 304 368 437 592 703 851 874 1406 1702 1748 2812 3404 3496 5624 6808 6992 11248 13616 16169 32338 54983 64676 109966 129352 219932 258704 439864 879728 1044677 1264609 2034371 2089354 2529218 4068742 4178708 5058436 8137484 8357416 10116872 16274968 16714832 20233744 24027571 32549936 38653049 46790533 48055142 77306098 93581066 96110284 154612196 187162132 192220568 309224392 374324264 384441136 618448784 748648528 889020127 1778040254 3556080508 7112161016 14224322032