Search a number
-
+
23774016 = 26373192
BaseRepresentation
bin101101010110…
…0001101000000
31122201211211010
41122230031000
522041232031
62205320520
7406035000
oct132541500
948654733
1023774016
1112468852
127b66140
134c05186
14322c000
152149246
hex16ac340

23774016 has 168 divisors, whose sum is σ = 77419200. Its totient is φ = 6435072.

The previous prime is 23773949. The next prime is 23774027. The reversal of 23774016 is 61047732.

It is a tau number, because it is divible by the number of its divisors (168).

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, 1251255 + ... + 1251273.

Almost surely, 223774016 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 23774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38709600).

23774016 is an abundant number, since it is smaller than the sum of its proper divisors (53645184).

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

23774016 is an equidigital number, since it uses as much as digits as its factorization.

23774016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 23774016 is about 4875.8605394330. The cubic root of 23774016 is about 287.5417093866.

The spelling of 23774016 in words is "twenty-three million, seven hundred seventy-four thousand, sixteen".