Search a number
-
+
23138200 = 2352196089
BaseRepresentation
bin101100001000…
…0111110011000
31121112112122101
41120100332120
521410410300
62143533144
7400446211
oct130207630
947475571
1023138200
1112074088
1278ba1b4
134a41957
143104408
152070b6a
hex1610f98

23138200 has 48 divisors (see below), whose sum is σ = 56637000. Its totient is φ = 8766720.

The previous prime is 23138197. The next prime is 23138237. The reversal of 23138200 is 283132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 756 + ... + 6844.

Almost surely, 223138200 is an apocalyptic number.

23138200 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 23138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28318500).

23138200 is an abundant number, since it is smaller than the sum of its proper divisors (33498800).

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

23138200 is a wasteful number, since it uses less digits than its factorization.

23138200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 23138200 is about 4810.2182902650. The cubic root of 23138200 is about 284.9551586371.

The spelling of 23138200 in words is "twenty-three million, one hundred thirty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 6089 12178 24356 30445 48712 60890 115691 121780 152225 231382 243560 304450 462764 578455 608900 925528 1156910 1217800 2313820 2892275 4627640 5784550 11569100 23138200