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224385941 = 13175319157
BaseRepresentation
bin11010101111111…
…01101110010101
3120122012222122102
431113331232111
5424420322231
634133211445
75363151263
oct1527755625
9518188572
10224385941
1110572952a
1263190b85
1337644b60
1421b2d433
1514a74acb
hexd5fdb95

224385941 has 16 divisors (see below), whose sum is σ = 260702064. Its totient is φ = 191253504.

The previous prime is 224385919. The next prime is 224385947. The reversal of 224385941 is 149583422.

It can be written as a sum of positive squares in 8 ways, for example, as 12567025 + 211818916 = 3545^2 + 14554^2 .

It is not a de Polignac number, because 224385941 - 222 = 220191637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 224385895 and 224385904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224385947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2135 + ... + 21291.

It is an arithmetic number, because the mean of its divisors is an integer number (16293879).

Almost surely, 2224385941 is an apocalyptic number.

It is an amenable number.

224385941 is a deficient number, since it is larger than the sum of its proper divisors (36316123).

224385941 is a wasteful number, since it uses less digits than its factorization.

224385941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19240.

The product of its digits is 69120, while the sum is 38.

The square root of 224385941 is about 14979.5173820788. The cubic root of 224385941 is about 607.6663871610. Note that the first 3 decimals are identical.

The spelling of 224385941 in words is "two hundred twenty-four million, three hundred eighty-five thousand, nine hundred forty-one".

Divisors: 1 13 17 53 221 689 901 11713 19157 249041 325669 1015321 4233697 13199173 17260457 224385941