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238207146720 = 253513918471933
BaseRepresentation
bin1101110111011001000…
…0001001101011100000
3211202212001202211122120
43131312100021223200
512400322012143340
6301233021504240
723131665224214
oct3356620115340
9752761684576
10238207146720
11920287a7014
123a1bb112080
1319602b145ba
14b75a516944
1562e28654d0
hex3776409ae0

238207146720 has 192 divisors, whose sum is σ = 756551093760. Its totient is φ = 62998161408.

The previous prime is 238207146691. The next prime is 238207146733. The reversal of 238207146720 is 27641702832.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123230874 + ... + 123232806.

It is an arithmetic number, because the mean of its divisors is an integer number (3940370280).

Almost surely, 2238207146720 is an apocalyptic number.

238207146720 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 238207146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378275546880).

238207146720 is an abundant number, since it is smaller than the sum of its proper divisors (518343947040).

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

238207146720 is a wasteful number, since it uses less digits than its factorization.

238207146720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 238207146720 in words is "two hundred thirty-eight billion, two hundred seven million, one hundred forty-six thousand, seven hundred twenty".