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224061124 = 22722322161
BaseRepresentation
bin11010101101011…
…10011011000100
3120121121111002011
431112232123010
5424324423444
634122224004
75360326300
oct1526563304
9517544064
10224061124
11105527491
1263055004
1337560061
1421a86d00
1514a0d734
hexd5ae6c4

224061124 has 54 divisors (see below), whose sum is σ = 477038814. Its totient is φ = 91808640.

The previous prime is 224061121. The next prime is 224061151. The reversal of 224061124 is 421160422.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 200732224 + 23328900 = 14168^2 + 4830^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224061095 and 224061104.

It is not an unprimeable number, because it can be changed into a prime (224061121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102604 + ... + 104764.

Almost surely, 2224061124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224061124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238519407).

224061124 is an abundant number, since it is smaller than the sum of its proper divisors (252977690).

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

224061124 is a wasteful number, since it uses less digits than its factorization.

224061124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 224061124 is about 14968.6714173303. The cubic root of 224061124 is about 607.3730299657.

The spelling of 224061124 in words is "two hundred twenty-four million, sixty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 1058 1127 2116 2161 2254 3703 4322 4508 7406 8644 14812 15127 25921 30254 49703 51842 60508 99406 103684 105889 198812 211778 347921 423556 695842 1143169 1391684 2286338 2435447 4572676 4870894 8002183 9741788 16004366 32008732 56015281 112030562 224061124