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224006940 = 223251244483
BaseRepresentation
bin11010101101000…
…01001100011100
3120121111201202100
431112201030130
5424321210230
634121125100
75360012313
oct1526411434
9517451670
10224006940
1110549a803
1263029790
13375414b1
1421a7127a
15149ec660
hexd5a131c

224006940 has 36 divisors (see below), whose sum is σ = 679488264. Its totient is φ = 59735136.

The previous prime is 224006911. The next prime is 224006947. The reversal of 224006940 is 49600422.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224006947) 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 11 ways as a sum of consecutive naturals, for example, 622062 + ... + 622421.

It is an arithmetic number, because the mean of its divisors is an integer number (18874674).

Almost surely, 2224006940 is an apocalyptic number.

224006940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224006940 is an abundant number, since it is smaller than the sum of its proper divisors (455481324).

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

224006940 is a wasteful number, since it uses less digits than its factorization.

224006940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244498 (or 1244493 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 224006940 is about 14966.8613944274. The cubic root of 224006940 is about 607.3240663126.

The spelling of 224006940 in words is "two hundred twenty-four million, six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1244483 2488966 3733449 4977932 6222415 7466898 11200347 12444830 14933796 18667245 22400694 24889660 37334490 44801388 56001735 74668980 112003470 224006940