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224412320 = 25511127507
BaseRepresentation
bin11010110000001…
…00001010100000
3120122021022211102
431120010022200
5424422143240
634133533532
75363321216
oct1530041240
9518238742
10224412320
11105747330
12631a42a8
1337653b72
1421b38cb6
1514a7c815
hexd6042a0

224412320 has 48 divisors (see below), whose sum is σ = 578376288. Its totient is φ = 81603840.

The previous prime is 224412283. The next prime is 224412389. The reversal of 224412320 is 23214422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224412292 and 224412301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61994 + ... + 65513.

It is an arithmetic number, because the mean of its divisors is an integer number (12049506).

Almost surely, 2224412320 is an apocalyptic number.

224412320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224412320 is an abundant number, since it is smaller than the sum of its proper divisors (353963968).

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

224412320 is a wasteful number, since it uses less digits than its factorization.

224412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127533 (or 127525 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 224412320 is about 14980.3978585350. The cubic root of 224412320 is about 607.6901988185.

Adding to 224412320 its reverse (23214422), we get a palindrome (247626742).

The spelling of 224412320 in words is "two hundred twenty-four million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 127507 255014 510028 637535 1020056 1275070 1402577 2040112 2550140 2805154 4080224 5100280 5610308 7012885 10200560 11220616 14025770 20401120 22441232 28051540 44882464 56103080 112206160 224412320