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224345040 = 2435934771
BaseRepresentation
bin11010101111100…
…11101111010000
3120122010220112120
431113303233100
5424413020130
634132254240
75362621113
oct1527635720
9518126476
10224345040
11105700827
1263171380
133762c35a
1421b1c57a
1514a67910
hexd5f3bd0

224345040 has 40 divisors (see below), whose sum is σ = 695470368. Its totient is φ = 59825280.

The previous prime is 224345029. The next prime is 224345041. The reversal of 224345040 is 40543422.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 224345040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224345041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467146 + ... + 467625.

Almost surely, 2224345040 is an apocalyptic number.

224345040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224345040 is an abundant number, since it is smaller than the sum of its proper divisors (471125328).

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

224345040 is a wasteful number, since it uses less digits than its factorization.

224345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934787 (or 934781 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 224345040 is about 14978.1520889594. The cubic root of 224345040 is about 607.6294631703.

Adding to 224345040 its reverse (40543422), we get a palindrome (264888462).

The spelling of 224345040 in words is "two hundred twenty-four million, three hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 934771 1869542 2804313 3739084 4673855 5608626 7478168 9347710 11217252 14021565 14956336 18695420 22434504 28043130 37390840 44869008 56086260 74781680 112172520 224345040