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238216813380 = 2233573131941127
BaseRepresentation
bin1101110111011011010…
…1000001101101000100
3211202212201221221211000
43131312311001231010
512400332001012010
6301234005013300
723132143335000
oct3356665015504
9752781857730
10238216813380
11920331a9797
123a2023b4230
1319604b1a510
14b75b911700
1562e36247c0
hex3776d41b44

238216813380 has 1536 divisors, whose sum is σ = 1011548160000. Its totient is φ = 46088663040.

The previous prime is 238216813357. The next prime is 238216813453. The reversal of 238216813380 is 83318612832.

238216813380 is a `hidden beast` number, since 2 + 382 + 1 + 68 + 133 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1875722877 + ... + 1875723003.

It is an arithmetic number, because the mean of its divisors is an integer number (658560000).

Almost surely, 2238216813380 is an apocalyptic number.

238216813380 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 238216813380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505774080000).

238216813380 is an abundant number, since it is smaller than the sum of its proper divisors (773331346620).

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

238216813380 is a wasteful number, since it uses less digits than its factorization.

238216813380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 238216813380 in words is "two hundred thirty-eight billion, two hundred sixteen million, eight hundred thirteen thousand, three hundred eighty".