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238706700 = 223525315013
BaseRepresentation
bin11100011101001…
…10000000001100
3121122011120000220
432032212000030
5442102103300
635404151340
75625654621
oct1616460014
9548146026
10238706700
1111281a971
1267b38550
133a5ba28b
14239ba348
1515e52da0
hexe3a600c

238706700 has 72 divisors (see below), whose sum is σ = 703736208. Its totient is φ = 62449920.

The previous prime is 238706693. The next prime is 238706701. The reversal of 238706700 is 7607832.

238706700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (238706701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8394 + ... + 23406.

It is an arithmetic number, because the mean of its divisors is an integer number (9774114).

Almost surely, 2238706700 is an apocalyptic number.

238706700 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 238706700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351868104).

238706700 is an abundant number, since it is smaller than the sum of its proper divisors (465029508).

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

238706700 is a wasteful number, since it uses less digits than its factorization.

238706700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15083 (or 15076 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 238706700 is about 15450.1359217322. The cubic root of 238706700 is about 620.3282167827.

The spelling of 238706700 in words is "two hundred thirty-eight million, seven hundred six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15013 15900 30026 45039 60052 75065 90078 150130 180156 225195 300260 375325 450390 750650 795689 900780 1125975 1501300 1591378 2251950 2387067 3182756 3978445 4503900 4774134 7956890 9548268 11935335 15913780 19892225 23870670 39784450 47741340 59676675 79568900 119353350 238706700