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238133484 = 223217439049
BaseRepresentation
bin11100011000110…
…10000011101100
3121121002102201200
432030122003230
5441430232414
635344005500
75621046501
oct1614320354
9547072650
10238133484
11112469236
1267900890
133a4493b4
14238ab4a8
1515d8d109
hexe31a0ec

238133484 has 72 divisors (see below), whose sum is σ = 652251600. Its totient is φ = 72963072.

The previous prime is 238133459. The next prime is 238133491. The reversal of 238133484 is 484331832.

It is a happy number.

238133484 is digitally balanced in base 3, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21792 + ... + 30840.

It is an arithmetic number, because the mean of its divisors is an integer number (9059050).

Almost surely, 2238133484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238133484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326125800).

238133484 is an abundant number, since it is smaller than the sum of its proper divisors (414118116).

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

238133484 is a wasteful number, since it uses less digits than its factorization.

238133484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119 (or 9114 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 238133484 is about 15431.5742554025. The cubic root of 238133484 is about 619.8312790987.

The spelling of 238133484 in words is "two hundred thirty-eight million, one hundred thirty-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 516 612 731 774 1462 1548 2193 2924 4386 6579 8772 9049 13158 18098 26316 27147 36196 54294 81441 108588 153833 162882 307666 325764 389107 461499 615332 778214 922998 1167321 1384497 1556428 1845996 2334642 2768994 3501963 4669284 5537988 6614819 7003926 13229638 14007852 19844457 26459276 39688914 59533371 79377828 119066742 238133484