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23380224 = 28374349
BaseRepresentation
bin101100100110…
…0000100000000
31121222211122020
41121030010000
521441131344
62153041440
7402504630
oct131140400
947884566
1023380224
11122199aa
1279b6280
134ac7b6a
1431686c0
1520bc719
hex164c100

23380224 has 72 divisors (see below), whose sum is σ = 71131200. Its totient is φ = 6678528.

The previous prime is 23380193. The next prime is 23380237. The reversal of 23380224 is 42208332.

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 = 23380194 and 23380203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3202 + ... + 7550.

Almost surely, 223380224 is an apocalyptic number.

23380224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35565600).

23380224 is an abundant number, since it is smaller than the sum of its proper divisors (47750976).

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

23380224 is an equidigital number, since it uses as much as digits as its factorization.

23380224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23380224 is about 4835.3101244905. The cubic root of 23380224 is about 285.9452517173.

Adding to 23380224 its reverse (42208332), we get a palindrome (65588556).

The spelling of 23380224 in words is "twenty-three million, three hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 4349 5376 8698 13047 17396 26094 30443 34792 52188 60886 69584 91329 104376 121772 139168 182658 208752 243544 278336 365316 417504 487088 556672 730632 835008 974176 1113344 1461264 1670016 1948352 2922528 3340032 3896704 5845056 7793408 11690112 23380224