208225431 has 16 divisors (see below), whose sum is σ = 309546720. Its totient is φ = 138337920.

The previous prime is 208225411. The next prime is 208225471. The reversal of 208225431 is 134522802.

208225431 is a `hidden beast` number, since 2 + 0 + 8 + 225 + 431 = 666.

It is not a de Polignac number, because 208225431 - 2⁵ = 208225399 is a prime.

It is a super-2 number, since 2×208225431² = 86715660230271522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 208225395 and 208225404.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5250 + ... + 21071.

It is an arithmetic number, because the mean of its divisors is an integer number (19346670).

Almost surely, 2^208225431 is an apocalyptic number.

208225431 is a deficient number, since it is larger than the sum of its proper divisors (101321289).

208225431 is a wasteful number, since it uses less digits than its factorization.

208225431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26623 (or 26617 counting only the distinct ones).

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

The square root of 208225431 is about 14430.0183991567. The cubic root of 208225431 is about 592.7131871840.

The spelling of 208225431 in words is "two hundred eight million, two hundred twenty-five thousand, four hundred thirty-one".