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194831424 = 263217101197
BaseRepresentation
bin10111001110011…
…10010001000000
3111120121110110200
423213032101000
5344334101144
631155525200
74554016434
oct1347162100
9446543420
10194831424
119aa82807
12552b9800
1331497888
141bc389c4
1512187c69
hexb9ce440

194831424 has 168 divisors, whose sum is σ = 600184728. Its totient is φ = 60211200.

The previous prime is 194831423. The next prime is 194831431. The reversal of 194831424 is 424138491.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 163021824 + 31809600 = 12768^2 + 5640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (194831423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988894 + ... + 989090.

Almost surely, 2194831424 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 194831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300092364).

194831424 is an abundant number, since it is smaller than the sum of its proper divisors (405353304).

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

194831424 is a wasteful number, since it uses less digits than its factorization.

194831424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 194831424 is about 13958.2027496379. The cubic root of 194831424 is about 579.7218483954.

The spelling of 194831424 in words is "one hundred ninety-four million, eight hundred thirty-one thousand, four hundred twenty-four".