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224535144 = 23361153371
BaseRepresentation
bin11010110001000…
…10001001101000
3120122111120022110
431120202021220
5424440111034
634140322320
75364342261
oct1530421150
9518446273
10224535144
11105820639
12632433a0
1337697a42
1421b6b968
1514aa3de9
hexd622268

224535144 has 32 divisors (see below), whose sum is σ = 570543840. Its totient is φ = 73617600.

The previous prime is 224535137. The next prime is 224535149. The reversal of 224535144 is 441535422.

It is a super-2 number, since 2×2245351442 = 100832061782201472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224535149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75222 + ... + 78149.

It is an arithmetic number, because the mean of its divisors is an integer number (17829495).

Almost surely, 2224535144 is an apocalyptic number.

224535144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224535144 is an abundant number, since it is smaller than the sum of its proper divisors (346008696).

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

224535144 is a wasteful number, since it uses less digits than its factorization.

224535144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153441 (or 153437 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 224535144 is about 14984.4967883476. The cubic root of 224535144 is about 607.8010443789.

The spelling of 224535144 in words is "two hundred twenty-four million, five hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 153371 306742 460113 613484 920226 1226968 1840452 3680904 9355631 18711262 28066893 37422524 56133786 74845048 112267572 224535144