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238238820 = 22345199739
BaseRepresentation
bin11100011001100…
…11110001100100
3121121021210020000
432030303301210
5441442120240
635350141300
75621665551
oct1614636144
9547253200
10238238820
11112530396
1267951830
133a485321
14238d7a28
1515dae430
hexe333c64

238238820 has 120 divisors (see below), whose sum is σ = 752136000. Its totient is φ = 63125568.

The previous prime is 238238789. The next prime is 238238837. The reversal of 238238820 is 28832832.

238238820 is digitally balanced in base 2, 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 322011 + ... + 322749.

It is an arithmetic number, because the mean of its divisors is an integer number (6267800).

Almost surely, 2238238820 is an apocalyptic number.

238238820 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 238238820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376068000).

238238820 is an abundant number, since it is smaller than the sum of its proper divisors (513897180).

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

238238820 is a wasteful number, since it uses less digits than its factorization.

238238820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 238238820 is about 15434.9868804609. The cubic root of 238238820 is about 619.9226577127.

The spelling of 238238820 in words is "two hundred thirty-eight million, two hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 199 270 324 398 405 540 597 739 796 810 995 1194 1478 1620 1791 1990 2217 2388 2956 2985 3582 3695 3980 4434 5373 5970 6651 7164 7390 8868 8955 10746 11085 11940 13302 14780 16119 17910 19953 21492 22170 26604 26865 32238 33255 35820 39906 44340 53730 59859 64476 66510 79812 80595 99765 107460 119718 133020 147061 161190 199530 239436 294122 299295 322380 399060 441183 588244 598590 735305 882366 1197180 1323549 1470610 1764732 2205915 2647098 2941220 3970647 4411830 5294196 6617745 7941294 8823660 11911941 13235490 15882588 19853235 23823882 26470980 39706470 47647764 59559705 79412940 119119410 238238820