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205012290 = 23571277687
BaseRepresentation
bin11000011100000…
…11110101000010
3112021202200222210
430032003311002
5404440343130
632202042550
75036401320
oct1416036502
9467680883
10205012290
11a57a684a
12587a9456
1333620862
141d328d10
1512ee95b0
hexc383d42

205012290 has 64 divisors (see below), whose sum is σ = 566820864. Its totient is φ = 46484928.

The previous prime is 205012289. The next prime is 205012307. The reversal of 205012290 is 92210502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22827 + ... + 30513.

It is an arithmetic number, because the mean of its divisors is an integer number (8856576).

Almost surely, 2205012290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205012290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283410432).

205012290 is an abundant number, since it is smaller than the sum of its proper divisors (361808574).

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

205012290 is a wasteful number, since it uses less digits than its factorization.

205012290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 205012290 is about 14318.2502422607. The cubic root of 205012290 is about 589.6486369111.

Adding to 205012290 its reverse (92210502), we get a palindrome (297222792).

It can be divided in two parts, 20501 and 2290, that added together give a triangular number (22791 = T213).

The spelling of 205012290 in words is "two hundred five million, twelve thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 127 210 254 381 635 762 889 1270 1778 1905 2667 3810 4445 5334 7687 8890 13335 15374 23061 26670 38435 46122 53809 76870 107618 115305 161427 230610 269045 322854 538090 807135 976249 1614270 1952498 2928747 4881245 5857494 6833743 9762490 13667486 14643735 20501229 29287470 34168715 41002458 68337430 102506145 205012290