238165312 has 112 divisors (see below), whose sum is σ = 608624640. Its totient is φ = 89740800.

The previous prime is 238165303. The next prime is 238165363. The reversal of 238165312 is 213561832.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 151989 + ... + 153547.

Almost surely, 2^238165312 is an apocalyptic number.

238165312 is a gapful number since it is divisible by the number (22) 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 238165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304312320).

238165312 is an abundant number, since it is smaller than the sum of its proper divisors (370459328).

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

238165312 is a wasteful number, since it uses less digits than its factorization.

238165312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1610 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 238165312 is about 15432.6054831969. The cubic root of 238165312 is about 619.8588926186.

The spelling of 238165312 in words is "two hundred thirty-eight million, one hundred sixty-five thousand, three hundred twelve".