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224034320 = 24519147391
BaseRepresentation
bin11010101101001…
…11111000010000
3120121120010022102
431112213320100
5424323044240
634121455532
75360155166
oct1526477020
9517503272
10224034320
11105509334
12630415a8
1337550ab3
1421a7b236
1514a05815
hexd5a7e10

224034320 has 40 divisors (see below), whose sum is σ = 548298240. Its totient is φ = 84896640.

The previous prime is 224034311. The next prime is 224034331. The reversal of 224034320 is 23430422.

224034320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 224034292 and 224034301.

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, 72176 + ... + 75215.

It is an arithmetic number, because the mean of its divisors is an integer number (13707456).

Almost surely, 2224034320 is an apocalyptic number.

224034320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224034320 is an abundant number, since it is smaller than the sum of its proper divisors (324263920).

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

224034320 is a wasteful number, since it uses less digits than its factorization.

224034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147423 (or 147417 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 224034320 is about 14967.7760539099. The cubic root of 224034320 is about 607.3488093786.

Adding to 224034320 its reverse (23430422), we get a palindrome (247464742).

The spelling of 224034320 in words is "two hundred twenty-four million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 147391 294782 589564 736955 1179128 1473910 2358256 2800429 2947820 5600858 5895640 11201716 11791280 14002145 22403432 28004290 44806864 56008580 112017160 224034320