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BaseRepresentation
bin1111101011100000
310021002200
433223200
54023344
61213200
7355146
oct175340
9107080
1064224
1144286
1231200
1323304
1419596
1514069
hexfae0

64224 has 36 divisors (see below), whose sum is σ = 183456. Its totient is φ = 21312.

The previous prime is 64223. The next prime is 64231. The reversal of 64224 is 42246.

It can be divided in two parts, 642 and 24, that added together give a palindrome (666).

64224 is a `hidden beast` number, since 642 + 24 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a d-powerful number, because it can be written as 66 + 45 + 25 + 27 + 47 .

It is a junction number, because it is equal to n+sod(n) for n = 64197 and 64206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64223) 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, 177 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

264224 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 64224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

64224 is an abundant number, since it is smaller than the sum of its proper divisors (119232).

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

64224 is a wasteful number, since it uses less digits than its factorization.

64224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 64224 is about 253.4245449833. The cubic root of 64224 is about 40.0466123278.

The spelling of 64224 in words is "sixty-four thousand, two hundred twenty-four".