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238601020 = 22571918923
BaseRepresentation
bin11100011100011…
…00001100111100
3121121222012001211
432032030030330
5442040213040
635402014204
75625034540
oct1616141474
9547865054
10238601020
11112758529
1267aa7364
133a581148
142398da20
1515e318ea
hexe38c33c

238601020 has 48 divisors (see below), whose sum is σ = 575705088. Its totient is φ = 81368640.

The previous prime is 238600997. The next prime is 238601021. The reversal of 238601020 is 20106832.

238601020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 238600982 and 238601000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238601021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22279 + ... + 31201.

It is an arithmetic number, because the mean of its divisors is an integer number (11993856).

Almost surely, 2238601020 is an apocalyptic number.

238601020 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 238601020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287852544).

238601020 is an abundant number, since it is smaller than the sum of its proper divisors (337104068).

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

238601020 is a wasteful number, since it uses less digits than its factorization.

238601020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9130 (or 9128 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 238601020 is about 15446.7155084827. The cubic root of 238601020 is about 620.2366595667.

Adding to 238601020 its reverse (20106832), we get a palindrome (258707852).

The spelling of 238601020 in words is "two hundred thirty-eight million, six hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 382 764 955 1337 1910 2674 3820 5348 6685 8923 13370 17846 26740 35692 44615 62461 89230 124922 178460 249844 312305 624610 1249220 1704293 3408586 6817172 8521465 11930051 17042930 23860102 34085860 47720204 59650255 119300510 238601020