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224042049 = 327111132861
BaseRepresentation
bin11010101101010…
…01110001000001
3120121120111220200
431112221301001
5424323321144
634121555413
75360216550
oct1526516101
9517514820
10224042049
11105514120
1263045b69
133755447a
1421a7dd97
1514a07c69
hexd5a9c41

224042049 has 48 divisors (see below), whose sum is σ = 407182464. Its totient is φ = 115315200.

The previous prime is 224042017. The next prime is 224042059. The reversal of 224042049 is 940240422.

It is not a de Polignac number, because 224042049 - 25 = 224042017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (224042009) 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 47 ways as a sum of consecutive naturals, for example, 76879 + ... + 79739.

It is an arithmetic number, because the mean of its divisors is an integer number (8482968).

Almost surely, 2224042049 is an apocalyptic number.

It is an amenable number.

224042049 is a deficient number, since it is larger than the sum of its proper divisors (183140415).

224042049 is a wasteful number, since it uses less digits than its factorization.

224042049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 224042049 is about 14968.0342396722. The cubic root of 224042049 is about 607.3557936432.

The spelling of 224042049 in words is "two hundred twenty-four million, forty-two thousand, forty-nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 113 231 339 693 791 1017 1243 2373 2861 3729 7119 8583 8701 11187 20027 25749 26103 31471 60081 78309 94413 180243 220297 283239 323293 660891 969879 1982673 2263051 2909637 3556223 6789153 10668669 20367459 24893561 32006007 74680683 224042049