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231104320 = 2654011801
BaseRepresentation
bin11011100011001…
…01111101000000
3121002212022112021
431301211331000
5433130314240
634533211224
75504232346
oct1561457500
9532768467
10231104320
111094a8107
1265490b14
1338b57b25
142299b996
151545054a
hexdc65f40

231104320 has 56 divisors (see below), whose sum is σ = 551995848. Its totient is φ = 92160000.

The previous prime is 231104303. The next prime is 231104347. The reversal of 231104320 is 23401132.

It is a happy number.

231104320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 44836416 + 186267904 = 6696^2 + 13648^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 231104294 and 231104303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127420 + ... + 129220.

Almost surely, 2231104320 is an apocalyptic number.

231104320 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 231104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275997924).

231104320 is an abundant number, since it is smaller than the sum of its proper divisors (320891528).

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

231104320 is a wasteful number, since it uses less digits than its factorization.

231104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 231104320 is about 15202.1156422387. The cubic root of 231104320 is about 613.6715945487.

Adding to 231104320 its reverse (23401132), we get a palindrome (254505452).

The spelling of 231104320 in words is "two hundred thirty-one million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 401 802 1604 1801 2005 3208 3602 4010 6416 7204 8020 9005 12832 14408 16040 18010 25664 28816 32080 36020 57632 64160 72040 115264 128320 144080 288160 576320 722201 1444402 2888804 3611005 5777608 7222010 11555216 14444020 23110432 28888040 46220864 57776080 115552160 231104320