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224404002 = 23212466889
BaseRepresentation
bin11010110000000…
…10001000100010
3120122020220102100
431120002020202
5424421412002
634133431230
75363255034
oct1530021042
9518226370
10224404002
11105741059
126319b516
1337650144
1421b35c54
1514a7a11c
hexd602222

224404002 has 12 divisors (see below), whose sum is σ = 486208710. Its totient is φ = 74801328.

The previous prime is 224403997. The next prime is 224404013. The reversal of 224404002 is 200404422.

224404002 is a `hidden beast` number, since 224 + 40 + 400 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 197374401 + 27029601 = 14049^2 + 5199^2 .

It is a super-2 number, since 2×2244040022 = 100714312227232008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12466889 = 224404002 / (2 + 2 + 4 + 4 + 0 + 4 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6233427 + ... + 6233462.

Almost surely, 2224404002 is an apocalyptic number.

224404002 is an abundant number, since it is smaller than the sum of its proper divisors (261804708).

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

224404002 is a wasteful number, since it uses less digits than its factorization.

224404002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12466897 (or 12466894 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 224404002 is about 14980.1202264868. The cubic root of 224404002 is about 607.6826905713.

Adding to 224404002 its reverse (200404422), we get a palindrome (424808424).

The spelling of 224404002 in words is "two hundred twenty-four million, four hundred four thousand, two".

Divisors: 1 2 3 6 9 18 12466889 24933778 37400667 74801334 112202001 224404002