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238427112 = 233711237317
BaseRepresentation
bin11100011011000…
…01101111101000
3121121122100111210
432031201233220
5442014131422
635354153120
75623411530
oct1615415750
9547570453
10238427112
11112649900
1267a227a0
133a51cc41
14239464c0
1515dea10c
hexe361be8

238427112 has 192 divisors, whose sum is σ = 771442560. Its totient is φ = 60065280.

The previous prime is 238427093. The next prime is 238427113. The reversal of 238427112 is 211724832.

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

It is a self number, because there is not a number n which added to its sum of digits gives 238427112.

It is not an unprimeable number, because it can be changed into a prime (238427113) 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, 751978 + ... + 752294.

It is an arithmetic number, because the mean of its divisors is an integer number (4017930).

Almost surely, 2238427112 is an apocalyptic number.

238427112 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 238427112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385721280).

238427112 is an abundant number, since it is smaller than the sum of its proper divisors (533015448).

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

238427112 is a wasteful number, since it uses less digits than its factorization.

238427112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 238427112 is about 15441.0851950243. The cubic root of 238427112 is about 620.0859332849.

It can be divided in two parts, 238 and 427112, that added together give a triangular number (427350 = T924).

The spelling of 238427112 in words is "two hundred thirty-eight million, four hundred twenty-seven thousand, one hundred twelve".