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205001244 = 223275315349
BaseRepresentation
bin11000011100000…
…01001000011100
3112021202010211200
430032001020130
5404440014434
632201515500
75036324160
oct1416011034
9467663750
10205001244
11a5799518
12587a2b90
1333618816
141d324ca0
1512ee6199
hexc38121c

205001244 has 72 divisors (see below), whose sum is σ = 603439200. Its totient is φ = 57462912.

The previous prime is 205001239. The next prime is 205001267. The reversal of 205001244 is 442100502.

205001244 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5682 + ... + 21030.

It is an arithmetic number, because the mean of its divisors is an integer number (8381100).

Almost surely, 2205001244 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 205001244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301719600).

205001244 is an abundant number, since it is smaller than the sum of its proper divisors (398437956).

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

205001244 is a wasteful number, since it uses less digits than its factorization.

205001244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15419 (or 15414 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 205001244 is about 14317.8645055748. The cubic root of 205001244 is about 589.6380466910.

Adding to 205001244 its reverse (442100502), we get a palindrome (647101746).

The spelling of 205001244 in words is "two hundred five million, one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 13356 15349 30698 46047 61396 92094 107443 138141 184188 214886 276282 322329 429772 552564 644658 813497 966987 1289316 1626994 1933974 2440491 3253988 3867948 4880982 5694479 7321473 9761964 11388958 14642946 17083437 22777916 29285892 34166874 51250311 68333748 102500622 205001244