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238113800 = 23524012969
BaseRepresentation
bin11100011000101…
…01010000001000
3121121001102201122
432030111100020
5441424120200
635343334412
75620635221
oct1614252010
9547042648
10238113800
11112455471
12678b1408
133a440452
14238a4248
1515d87385
hexe315408

238113800 has 48 divisors (see below), whose sum is σ = 555182100. Its totient is φ = 94976000.

The previous prime is 238113791. The next prime is 238113839. The reversal of 238113800 is 8311832.

It can be written as a sum of positive squares in 6 ways, for example, as 83210884 + 154902916 = 9122^2 + 12446^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 238113800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78716 + ... + 81684.

Almost surely, 2238113800 is an apocalyptic number.

238113800 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 238113800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277591050).

238113800 is an abundant number, since it is smaller than the sum of its proper divisors (317068300).

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

238113800 is a wasteful number, since it uses less digits than its factorization.

238113800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 238113800 is about 15430.9364589451. The cubic root of 238113800 is about 619.8142003090.

The spelling of 238113800 in words is "two hundred thirty-eight million, one hundred thirteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 401 802 1604 2005 2969 3208 4010 5938 8020 10025 11876 14845 16040 20050 23752 29690 40100 59380 74225 80200 118760 148450 296900 593800 1190569 2381138 4762276 5952845 9524552 11905690 23811380 29764225 47622760 59528450 119056900 238113800