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231404100 = 223527271061
BaseRepresentation
bin11011100101011…
…11001001000100
3121010102112202020
431302233021010
5433214412400
634543443140
75506621344
oct1562571104
9533375666
10231404100
11109692364
12655b64b0
1338c31405
1422a38d24
15154ae2a0
hexdcaf244

231404100 has 72 divisors (see below), whose sum is σ = 671082048. Its totient is φ = 61564800.

The previous prime is 231404099. The next prime is 231404141. The reversal of 231404100 is 1404132.

231404100 is digitally balanced in base 2 and base 3, because in such bases 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 231404100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217570 + ... + 218630.

It is an arithmetic number, because the mean of its divisors is an integer number (9320584).

Almost surely, 2231404100 is an apocalyptic number.

231404100 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 231404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335541024).

231404100 is an abundant number, since it is smaller than the sum of its proper divisors (439677948).

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

231404100 is a wasteful number, since it uses less digits than its factorization.

231404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 231404100 is about 15211.9722587178. The cubic root of 231404100 is about 613.9368239525.

Adding to 231404100 its reverse (1404132), we get a palindrome (232808232).

The spelling of 231404100 in words is "two hundred thirty-one million, four hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 727 1061 1454 2122 2181 2908 3183 3635 4244 4362 5305 6366 7270 8724 10610 10905 12732 14540 15915 18175 21220 21810 26525 31830 36350 43620 53050 54525 63660 72700 79575 106100 109050 159150 218100 318300 771347 1542694 2314041 3085388 3856735 4628082 7713470 9256164 11570205 15426940 19283675 23140410 38567350 46280820 57851025 77134700 115702050 231404100