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23805216 = 253282657
BaseRepresentation
bin101101011001…
…1110100100000
31122210102121200
41122303310200
522043231331
62210121200
7406224651
oct132636440
948712550
1023805216
111248a236
127b80200
134c16436
143239528
1521535e6
hex16b3d20

23805216 has 36 divisors (see below), whose sum is σ = 67696902. Its totient is φ = 7934976.

The previous prime is 23805211. The next prime is 23805217. The reversal of 23805216 is 61250832.

It can be written as a sum of positive squares in only one way, i.e., 19395216 + 4410000 = 4404^2 + 2100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23805216.

It is not an unprimeable number, because it can be changed into a prime (23805211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41041 + ... + 41616.

Almost surely, 223805216 is an apocalyptic number.

It is an amenable number.

23805216 is an abundant number, since it is smaller than the sum of its proper divisors (43891686).

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

23805216 is a wasteful number, since it uses less digits than its factorization.

23805216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82673 (or 82662 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 23805216 is about 4879.0589256536. The cubic root of 23805216 is about 287.6674402079.

The spelling of 23805216 in words is "twenty-three million, eight hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 82657 165314 247971 330628 495942 661256 743913 991884 1322512 1487826 1983768 2645024 2975652 3967536 5951304 7935072 11902608 23805216