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23841216 = 2636773
BaseRepresentation
bin101101011110…
…0100111000000
31122212021000000
41122330213000
522100404331
62211000000
7406434630
oct132744700
948767000
1023841216
1112504293
127b99000
134c29939
1432486c0
15215e0e6
hex16bc9c0

23841216 has 196 divisors, whose sum is σ = 82176112. Its totient is φ = 6718464.

The previous prime is 23841203. The next prime is 23841217. The reversal of 23841216 is 61214832.

23841216 is a `hidden beast` number, since 238 + 412 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 23841216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23841217) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326556 + ... + 326628.

Almost surely, 223841216 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 23841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41088056).

23841216 is an abundant number, since it is smaller than the sum of its proper divisors (58334896).

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

23841216 is an frugal number, since it uses more digits than its factorization.

23841216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 85 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 23841216 is about 4882.7467679576. The cubic root of 23841216 is about 287.8123777971.

It can be divided in two parts, 2384 and 1216, that added together give a square (3600 = 602).

The spelling of 23841216 in words is "twenty-three million, eight hundred forty-one thousand, two hundred sixteen".