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224052224 = 2101119891
BaseRepresentation
bin11010101101011…
…00010000000000
3120121121000212112
431112230100000
5424324132344
634122114452
75360261324
oct1526542000
9517530775
10224052224
11105520830
126304ba28
1337558ca6
1421a83984
1514a0ac9e
hexd5ac400

224052224 has 44 divisors (see below), whose sum is σ = 488627088. Its totient is φ = 101836800.

The previous prime is 224052211. The next prime is 224052229. The reversal of 224052224 is 422250422.

It is a tau number, because it is divible by the number of its divisors (44).

It is a self number, because there is not a number n which added to its sum of digits gives 224052224.

It is not an unprimeable number, because it can be changed into a prime (224052229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1319 + ... + 21209.

Almost surely, 2224052224 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 224052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244313544).

224052224 is an abundant number, since it is smaller than the sum of its proper divisors (264574864).

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

224052224 is a wasteful number, since it uses less digits than its factorization.

224052224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19922 (or 19904 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 224052224 is about 14968.3741268048. The cubic root of 224052224 is about 607.3649879763.

The spelling of 224052224 in words is "two hundred twenty-four million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 19891 39782 79564 159128 218801 318256 437602 636512 875204 1273024 1750408 2546048 3500816 5092096 7001632 10184192 14003264 20368384 28006528 56013056 112026112 224052224