Search a number
-
+
163198384 = 24311512179
BaseRepresentation
bin10011011101000…
…11010110110000
3102101002100002121
421232203112300
5313234322014
624105524024
74021110016
oct1156432660
9371070077
10163198384
11841373a8
12467a3614
1327a704bb
14179628b6
15e4da124
hex9ba35b0

163198384 has 40 divisors (see below), whose sum is σ = 328709120. Its totient is φ = 78408000.

The previous prime is 163198381. The next prime is 163198393. The reversal of 163198384 is 483891361.

163198384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1631983842 = 53267425080422912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 163198384.

It is not an unprimeable number, because it can be changed into a prime (163198381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73807 + ... + 75985.

It is an arithmetic number, because the mean of its divisors is an integer number (8217728).

Almost surely, 2163198384 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 163198384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164354560).

163198384 is an abundant number, since it is smaller than the sum of its proper divisors (165510736).

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

163198384 is a wasteful number, since it uses less digits than its factorization.

163198384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2363 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 163198384 is about 12774.9122893271. The cubic root of 163198384 is about 546.4770794754.

The spelling of 163198384 in words is "one hundred sixty-three million, one hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 31 62 124 151 248 302 496 604 1208 2179 2416 4358 4681 8716 9362 17432 18724 34864 37448 67549 74896 135098 270196 329029 540392 658058 1080784 1316116 2632232 5264464 10199899 20399798 40799596 81599192 163198384