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22448 = 242361
BaseRepresentation
bin101011110110000
31010210102
411132300
51204243
6251532
7122306
oct53660
933712
1022448
1115958
1210ba8
13a2aa
148276
1569b8
hex57b0

22448 has 20 divisors (see below), whose sum is σ = 46128. Its totient is φ = 10560.

The previous prime is 22447. The next prime is 22453. The reversal of 22448 is 84422.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

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

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (22441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 338 + ... + 398.

222448 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 22448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064).

22448 is an abundant number, since it is smaller than the sum of its proper divisors (23680).

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

22448 is a wasteful number, since it uses less digits than its factorization.

22448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 22448 is about 149.8265664026. The cubic root of 22448 is about 28.2093157023.

It can be divided in two parts, 224 and 48, that added together give a palindrome (272).

The spelling of 22448 in words is "twenty-two thousand, four hundred forty-eight".