209193920 has 56 divisors (see below), whose sum is σ = 536472384. Its totient is φ = 77239296.

The previous prime is 209193917. The next prime is 209193923. The reversal of 209193920 is 29391902.

It is an interprime number because it is at equal distance from previous prime (209193917) and next prime (209193923).

It is a super-3 number, since 3×209193920³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209193923) 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 7 ways as a sum of consecutive naturals, for example, 20984 + ... + 29303.

It is an arithmetic number, because the mean of its divisors is an integer number (9579864).

Almost surely, 2^209193920 is an apocalyptic number.

209193920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209193920 is an abundant number, since it is smaller than the sum of its proper divisors (327278464).

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

209193920 is a wasteful number, since it uses less digits than its factorization.

209193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50317 (or 50307 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 209193920 is about 14463.5376032283. The cubic root of 209193920 is about 593.6307000200.

The spelling of 209193920 in words is "two hundred nine million, one hundred ninety-three thousand, nine hundred twenty".