238201920 has 336 divisors, whose sum is σ = 914838912. Its totient is φ = 56401920.

The previous prime is 238201913. The next prime is 238201963. The reversal of 238201920 is 29102832.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2312589 + ... + 2312691.

Almost surely, 2^238201920 is an apocalyptic number.

238201920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457419456).

238201920 is an abundant number, since it is smaller than the sum of its proper divisors (676636992).

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

238201920 is a wasteful number, since it uses less digits than its factorization.

238201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 238201920 is about 15433.7914978789. The cubic root of 238201920 is about 619.8906501566.

It can be divided in two parts, 238201 and 920, that added together give a square (239121 = 489²).

The spelling of 238201920 in words is "two hundred thirty-eight million, two hundred one thousand, nine hundred twenty".