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238138992 = 2432713171069
BaseRepresentation
bin11100011000110…
…11011001110000
3121121002201021200
432030123121300
5441430421432
635344051200
75621101530
oct1614333160
9547081250
10238138992
11112472393
1267903b00
133a44ba60
14238ad4c0
1515d8ea7c
hexe31b670

238138992 has 240 divisors, whose sum is σ = 869319360. Its totient is φ = 59056128.

The previous prime is 238138963. The next prime is 238138997. The reversal of 238138992 is 299831832.

238138992 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238138997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222234 + ... + 223302.

It is an arithmetic number, because the mean of its divisors is an integer number (3622164).

Almost surely, 2238138992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238138992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434659680).

238138992 is an abundant number, since it is smaller than the sum of its proper divisors (631180368).

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

238138992 is a wasteful number, since it uses less digits than its factorization.

238138992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1111 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 238138992 is about 15431.7527196362. The cubic root of 238138992 is about 619.8360579372.

The spelling of 238138992 in words is "two hundred thirty-eight million, one hundred thirty-eight thousand, nine hundred ninety-two".