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205055224 = 2311171131213
BaseRepresentation
bin11000011100011…
…10010011111000
3112021211212212221
430032032103320
5404443231344
632203013424
75036640433
oct1416162370
9467755787
10205055224
11a5826030
125880a274
133363726a
141d33a81a
1513007184
hexc38e4f8

205055224 has 64 divisors (see below), whose sum is σ = 448403040. Its totient is φ = 86876160.

The previous prime is 205055183. The next prime is 205055233. The reversal of 205055224 is 422550502.

It is a happy number.

205055224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168442 + ... + 169654.

Almost surely, 2205055224 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 205055224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224201520).

205055224 is an abundant number, since it is smaller than the sum of its proper divisors (243347816).

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

205055224 is a wasteful number, since it uses less digits than its factorization.

205055224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 205055224 is about 14319.7494391487. The cubic root of 205055224 is about 589.6897957566.

The spelling of 205055224 in words is "two hundred five million, fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 113 136 187 226 374 452 748 904 1213 1243 1496 1921 2426 2486 3842 4852 4972 7684 9704 9944 13343 15368 20621 21131 26686 41242 42262 53372 82484 84524 106744 137069 164968 169048 226831 274138 453662 548276 907324 1096552 1507759 1814648 2330173 3015518 4660346 6031036 9320692 12062072 18641384 25631903 51263806 102527612 205055224