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22408224 = 253233419
BaseRepresentation
bin101010101111…
…0110000100000
31120011110022020
41111132300200
521214030344
62120141440
7361316046
oct125366040
946143266
1022408224
11117156a3
127607880
134847607
142d94396
151e79719
hex155ec20

22408224 has 24 divisors (see below), whose sum is σ = 58821840. Its totient is φ = 7469376.

The previous prime is 22408207. The next prime is 22408229. The reversal of 22408224 is 42280422.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22408194 and 22408203.

It is not an unprimeable number, because it can be changed into a prime (22408229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116614 + ... + 116805.

It is an arithmetic number, because the mean of its divisors is an integer number (2450910).

Almost surely, 222408224 is an apocalyptic number.

22408224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22408224 is an abundant number, since it is smaller than the sum of its proper divisors (36413616).

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

22408224 is a wasteful number, since it uses less digits than its factorization.

22408224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233432 (or 233424 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 22408224 is about 4733.7325653231. The cubic root of 22408224 is about 281.9264432668.

Adding to 22408224 its reverse (42280422), we get a palindrome (64688646).

The spelling of 22408224 in words is "twenty-two million, four hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233419 466838 700257 933676 1400514 1867352 2801028 3734704 5602056 7469408 11204112 22408224