Search a number
-
+
224106440 = 23531180731
BaseRepresentation
bin11010101101110…
…01011111001000
3120121200210020112
431112321133020
5424332401230
634123213452
75360605355
oct1526713710
9517623215
10224106440
11105558538
1263077288
133757787c
1421a9962c
1514a1bd95
hexd5b97c8

224106440 has 32 divisors (see below), whose sum is σ = 520508160. Its totient is φ = 86750400.

The previous prime is 224106439. The next prime is 224106523. The reversal of 224106440 is 44601422.

224106440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 89126 + ... + 91605.

It is an arithmetic number, because the mean of its divisors is an integer number (16265880).

Almost surely, 2224106440 is an apocalyptic number.

224106440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224106440 is an abundant number, since it is smaller than the sum of its proper divisors (296401720).

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

224106440 is a wasteful number, since it uses less digits than its factorization.

224106440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180773 (or 180769 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 224106440 is about 14970.1850355966. The cubic root of 224106440 is about 607.4139739432.

Adding to 224106440 its reverse (44601422), we get a palindrome (268707862).

The spelling of 224106440 in words is "two hundred twenty-four million, one hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 180731 361462 722924 903655 1445848 1807310 3614620 5602661 7229240 11205322 22410644 28013305 44821288 56026610 112053220 224106440