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224400340 = 22517660001
BaseRepresentation
bin11010110000000…
…01001111010100
3120122020201101201
431120001033110
5424421302330
634133402244
75363241253
oct1530011724
9518221351
10224400340
1110573932a
1263199384
133764b588
1421b3479a
1514a78eca
hexd6013d4

224400340 has 24 divisors (see below), whose sum is σ = 498961512. Its totient is φ = 84480000.

The previous prime is 224400311. The next prime is 224400367. The reversal of 224400340 is 43004422.

224400340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42797764 + 181602576 = 6542^2 + 13476^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329661 + ... + 330340.

It is an arithmetic number, because the mean of its divisors is an integer number (20790063).

Almost surely, 2224400340 is an apocalyptic number.

224400340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224400340 is an abundant number, since it is smaller than the sum of its proper divisors (274561172).

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

224400340 is a wasteful number, since it uses less digits than its factorization.

224400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660027 (or 660025 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 224400340 is about 14979.9979973296. The cubic root of 224400340 is about 607.6793850062.

Adding to 224400340 its reverse (43004422), we get a palindrome (267404762).

The spelling of 224400340 in words is "two hundred twenty-four million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 660001 1320002 2640004 3300005 6600010 11220017 13200020 22440034 44880068 56100085 112200170 224400340