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224140032 = 283297283
BaseRepresentation
bin11010101110000…
…01101100000000
3120121202111022200
431113001230000
5424334440112
634124033200
75361105324
oct1527015400
9517674280
10224140032
111055807a6
1263092800
1337589c4c
1421aa7984
1514a26cdc
hexd5c1b00

224140032 has 54 divisors (see below), whose sum is σ = 646257612. Its totient is φ = 74712576.

The previous prime is 224140009. The next prime is 224140061. The reversal of 224140032 is 230041422.

It is a super-2 number, since 2×2241400322 = 100477507889922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224139987 and 224140014.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 46338 + ... + 50945.

Almost surely, 2224140032 is an apocalyptic number.

It is an amenable number.

224140032 is an abundant number, since it is smaller than the sum of its proper divisors (422117580).

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

224140032 is an equidigital number, since it uses as much as digits as its factorization.

224140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97305 (or 97288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224140032 is about 14971.3069569761. The cubic root of 224140032 is about 607.4443214733. Note that the first 3 decimals are identical.

Adding to 224140032 its reverse (230041422), we get a palindrome (454181454).

The spelling of 224140032 in words is "two hundred twenty-four million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 97283 194566 291849 389132 583698 778264 875547 1167396 1556528 1751094 2334792 3113056 3502188 4669584 6226112 7004376 9339168 12452224 14008752 18678336 24904448 28017504 37356672 56035008 74713344 112070016 224140032