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205263340 = 22514716977
BaseRepresentation
bin11000011110000…
…01000111101100
3112022020110100221
430033001013230
5410021411330
632211301124
75041465252
oct1417010754
9468213327
10205263340
11a5958427
12588aa7a4
13336aabc9
141d3925d2
1513048b7a
hexc3c11ec

205263340 has 24 divisors (see below), whose sum is σ = 431407872. Its totient is φ = 82037760.

The previous prime is 205263269. The next prime is 205263341. The reversal of 205263340 is 43362502.

It is a happy number.

205263340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205263341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25932 + ... + 32908.

It is an arithmetic number, because the mean of its divisors is an integer number (17975328).

Almost surely, 2205263340 is an apocalyptic number.

205263340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205263340 is an abundant number, since it is smaller than the sum of its proper divisors (226144532).

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

205263340 is a wasteful number, since it uses less digits than its factorization.

205263340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 205263340 is about 14327.0143435400. The cubic root of 205263340 is about 589.8892255882.

The spelling of 205263340 in words is "two hundred five million, two hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1471 2942 5884 6977 7355 13954 14710 27908 29420 34885 69770 139540 10263167 20526334 41052668 51315835 102631670 205263340