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205244240 = 2459726449
BaseRepresentation
bin11000011101111…
…00011101010000
3112022012111011112
430032330131100
5410020303430
632211032452
75041355465
oct1416743520
9468174145
10205244240
11a5945043
125889b728
13336a22c6
141d38966c
1513043195
hexc3bc750

205244240 has 40 divisors (see below), whose sum is σ = 482130600. Its totient is φ = 81248256.

The previous prime is 205244219. The next prime is 205244243. The reversal of 205244240 is 42442502.

205244240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 868624 + 204375616 = 932^2 + 14296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205244243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5465 + ... + 20984.

It is an arithmetic number, because the mean of its divisors is an integer number (12053265).

Almost surely, 2205244240 is an apocalyptic number.

205244240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205244240 is an abundant number, since it is smaller than the sum of its proper divisors (276886360).

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

205244240 is a wasteful number, since it uses less digits than its factorization.

205244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26559 (or 26553 counting only the distinct ones).

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

The square root of 205244240 is about 14326.3477550979. The cubic root of 205244240 is about 589.8709283873.

Adding to 205244240 its reverse (42442502), we get a palindrome (247686742).

The spelling of 205244240 in words is "two hundred five million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 26449 52898 105796 132245 211592 264490 423184 528980 1057960 2115920 2565553 5131106 10262212 12827765 20524424 25655530 41048848 51311060 102622120 205244240