Search a number
-
+
194897664 = 283513241
BaseRepresentation
bin10111001110111…
…10011100000000
3111120201211100000
423213132130000
5344343211124
631201200000
74554413523
oct1347363400
9446654300
10194897664
11a0018555
1255330000
13314bba80
141bc54bba
151219c6c9
hexb9de700

194897664 has 216 divisors, whose sum is σ = 630181552. Its totient is φ = 59719680.

The previous prime is 194897657. The next prime is 194897671. The reversal of 194897664 is 466798491.

194897664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (194897657) and next prime (194897671).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 194897664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808584 + ... + 808824.

Almost surely, 2194897664 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 194897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315090776).

194897664 is an abundant number, since it is smaller than the sum of its proper divisors (435283888).

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

194897664 is an equidigital number, since it uses as much as digits as its factorization.

194897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 259 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 194897664 is about 13960.5753463101. The cubic root of 194897664 is about 579.7875400985.

The spelling of 194897664 in words is "one hundred ninety-four million, eight hundred ninety-seven thousand, six hundred sixty-four".