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224825445 = 32513384317
BaseRepresentation
bin11010110011010…
…01000001100101
3120200001022112100
431121221001211
5430023403240
634150442313
75366661525
oct1531510145
9520038470
10224825445
111059a9759
1263363399
1337769c10
1421c05685
1514b0ee30
hexd669065

224825445 has 24 divisors (see below), whose sum is σ = 419675256. Its totient is φ = 110683008.

The previous prime is 224825441. The next prime is 224825449. The reversal of 224825445 is 544528422.

It is an interprime number because it is at equal distance from previous prime (224825441) and next prime (224825449).

It can be written as a sum of positive squares in 4 ways, for example, as 45077796 + 179747649 = 6714^2 + 13407^2 .

It is not a de Polignac number, because 224825445 - 22 = 224825441 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224825441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191574 + ... + 192743.

It is an arithmetic number, because the mean of its divisors is an integer number (17486469).

Almost surely, 2224825445 is an apocalyptic number.

It is an amenable number.

224825445 is a deficient number, since it is larger than the sum of its proper divisors (194849811).

224825445 is a wasteful number, since it uses less digits than its factorization.

224825445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384341 (or 384338 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 224825445 is about 14994.1803710640. The cubic root of 224825445 is about 608.0628731221.

The spelling of 224825445 in words is "two hundred twenty-four million, eight hundred twenty-five thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 384317 1152951 1921585 3458853 4996121 5764755 14988363 17294265 24980605 44965089 74941815 224825445