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238358540 = 22572298387
BaseRepresentation
bin11100011010100…
…01000000001100
3121121111212110002
432031101000030
5442004433130
635352503432
75623004600
oct1615210014
9547455402
10238358540
11112602332
12679aab78
133a4c7974
1423929500
1515dd4b45
hexe35100c

238358540 has 72 divisors (see below), whose sum is σ = 602426160. Its totient is φ = 78895488.

The previous prime is 238358521. The next prime is 238358557. The reversal of 238358540 is 45853832.

It is a junction number, because it is equal to n+sod(n) for n = 238358494 and 238358503.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24227 + ... + 32613.

It is an arithmetic number, because the mean of its divisors is an integer number (8367030).

Almost surely, 2238358540 is an apocalyptic number.

238358540 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 238358540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301213080).

238358540 is an abundant number, since it is smaller than the sum of its proper divisors (364067620).

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

238358540 is a wasteful number, since it uses less digits than its factorization.

238358540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8439 (or 8430 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 238358540 is about 15438.8645955588. The cubic root of 238358540 is about 620.0264816993.

The spelling of 238358540 in words is "two hundred thirty-eight million, three hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 5684 7105 8387 14210 16774 28420 33548 41935 58709 83870 117418 167740 234836 243223 293545 410963 486446 587090 821926 972892 1174180 1216115 1643852 1702561 2054815 2432230 3405122 4109630 4864460 6810244 8219260 8512805 11917927 17025610 23835854 34051220 47671708 59589635 119179270 238358540