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205152240 = 2435854801
BaseRepresentation
bin11000011101001…
…01111111110000
3112022000210222010
430032211333300
5410004332430
632205042520
75040523326
oct1416457760
9468023863
10205152240
11a5891a07
1258856440
133366c477
141d363d16
1513025cb0
hexc3a5ff0

205152240 has 40 divisors (see below), whose sum is σ = 635972688. Its totient is φ = 54707200.

The previous prime is 205152239. The next prime is 205152247. The reversal of 205152240 is 42251502.

It is a happy number.

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 (205152247) 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, 427161 + ... + 427640.

Almost surely, 2205152240 is an apocalyptic number.

205152240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205152240 is an abundant number, since it is smaller than the sum of its proper divisors (430820448).

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

205152240 is a wasteful number, since it uses less digits than its factorization.

205152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854817 (or 854811 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 205152240 is about 14323.1365280095. The cubic root of 205152240 is about 589.7827793672.

The spelling of 205152240 in words is "two hundred five million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 854801 1709602 2564403 3419204 4274005 5128806 6838408 8548010 10257612 12822015 13676816 17096020 20515224 25644030 34192040 41030448 51288060 68384080 102576120 205152240