205414224 has 40 divisors (see below), whose sum is σ = 531861792. Its totient is φ = 68315520.

The previous prime is 205414217. The next prime is 205414229. The reversal of 205414224 is 422414502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 205414194 and 205414203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205414229) 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, 17487 + ... + 26769.

Almost surely, 2^205414224 is an apocalyptic number.

205414224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205414224 is an abundant number, since it is smaller than the sum of its proper divisors (326447568).

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

205414224 is a wasteful number, since it uses less digits than its factorization.

205414224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 205414224 is about 14332.2790930124. The cubic root of 205414224 is about 590.0337278430.

Adding to 205414224 its reverse (422414502), we get a palindrome (627828726).

The spelling of 205414224 in words is "two hundred five million, four hundred fourteen thousand, two hundred twenty-four".