208225413 has 24 divisors (see below), whose sum is σ = 328607136. Its totient is φ = 126007200.

The previous prime is 208225411. The next prime is 208225471. The reversal of 208225413 is 314522802.

208225413 is a `hidden beast` number, since 20 + 8 + 225 + 413 = 666.

It is not a de Polignac number, because 208225413 - 2¹ = 208225411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208225411) 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 23 ways as a sum of consecutive naturals, for example, 92643 + ... + 94863.

It is an arithmetic number, because the mean of its divisors is an integer number (13691964).

Almost surely, 2^208225413 is an apocalyptic number.

It is an amenable number.

208225413 is a deficient number, since it is larger than the sum of its proper divisors (120381723).

208225413 is a wasteful number, since it uses less digits than its factorization.

208225413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 208225413 is about 14430.0177754568. The cubic root of 208225413 is about 592.7131701050.

It can be divided in two parts, 2082 and 25413, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 208225413 in words is "two hundred eight million, two hundred twenty-five thousand, four hundred thirteen".