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238920192 = 29347823
BaseRepresentation
bin11100011110110…
…10001000000000
3121122120101220000
432033122020000
5442130421232
635412520000
75630534220
oct1617321000
9548511800
10238920192
11112956305
1268020000
133a6634c4
1423a34080
1515e9627c
hexe3da200

238920192 has 200 divisors, whose sum is σ = 815977536. Its totient is φ = 68179968.

The previous prime is 238920179. The next prime is 238920229. The reversal of 238920192 is 291029832.

238920192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 289893 + ... + 290715.

Almost surely, 2238920192 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 238920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407988768).

238920192 is an abundant number, since it is smaller than the sum of its proper divisors (577057344).

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

238920192 is an frugal number, since it uses more digits than its factorization.

238920192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 238920192 is about 15457.0434430392. The cubic root of 238920192 is about 620.5130958963.

The spelling of 238920192 in words is "two hundred thirty-eight million, nine hundred twenty thousand, one hundred ninety-two".