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163104224 = 25231671327
BaseRepresentation
bin10011011100011…
…00010111100000
3102100220112221012
421232030113200
5313223313344
624103520052
74020235343
oct1156142740
9370815835
10163104224
1184082688
1246759028
1327a3969a
141793a45a
15e4bc29e
hex9b8c5e0

163104224 has 48 divisors (see below), whose sum is σ = 337333248. Its totient is φ = 77480832.

The previous prime is 163104223. The next prime is 163104229. The reversal of 163104224 is 422401361.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 163104224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163104223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122249 + ... + 123575.

It is an arithmetic number, because the mean of its divisors is an integer number (7027776).

Almost surely, 2163104224 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 163104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168666624).

163104224 is an abundant number, since it is smaller than the sum of its proper divisors (174229024).

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

163104224 is a wasteful number, since it uses less digits than its factorization.

163104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 163104224 is about 12771.2264093939. The cubic root of 163104224 is about 546.3719596005.

Adding to 163104224 its reverse (422401361), we get a palindrome (585505585).

The spelling of 163104224 in words is "one hundred sixty-three million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 167 184 334 368 668 736 1327 1336 2654 2672 3841 5308 5344 7682 10616 15364 21232 30521 30728 42464 61042 61456 122084 122912 221609 244168 443218 488336 886436 976672 1772872 3545744 5097007 7091488 10194014 20388028 40776056 81552112 163104224