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205012240 = 2453836691
BaseRepresentation
bin11000011100000…
…11110100010000
3112021202200220221
430032003310100
5404440342430
632202042424
75036401216
oct1416036420
9467680827
10205012240
11a57a6804
12587a9414
1333620824
141d328cb6
1512ee957a
hexc383d10

205012240 has 40 divisors (see below), whose sum is σ = 477969408. Its totient is φ = 81778560.

The previous prime is 205012217. The next prime is 205012243. The reversal of 205012240 is 42210502.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (205012243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27295 + ... + 33985.

Almost surely, 2205012240 is an apocalyptic number.

205012240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205012240 is an abundant number, since it is smaller than the sum of its proper divisors (272957168).

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

205012240 is a wasteful number, since it uses less digits than its factorization.

205012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 205012240 is about 14318.2484962372. The cubic root of 205012240 is about 589.6485889750.

Adding to 205012240 its reverse (42210502), we get a palindrome (247222742).

The spelling of 205012240 in words is "two hundred five million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 383 766 1532 1915 3064 3830 6128 6691 7660 13382 15320 26764 30640 33455 53528 66910 107056 133820 267640 535280 2562653 5125306 10250612 12813265 20501224 25626530 41002448 51253060 102506120 205012240