Search a number
-
+
231106200 = 233521329629
BaseRepresentation
bin11011100011001…
…10011010011000
3121002212102002220
431301212122120
5433130344300
634533224040
75504241003
oct1561463230
9532772086
10231106200
111094a9566
1265492020
1338b58940
142299c53a
1515450da0
hexdc66698

231106200 has 96 divisors (see below), whose sum is σ = 771565200. Its totient is φ = 56885760.

The previous prime is 231106199. The next prime is 231106243. The reversal of 231106200 is 2601132.

231106200 is digitally balanced in base 2, because in such base 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 231106200.

It is a congruent number.

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, 7015 + ... + 22614.

Almost surely, 2231106200 is an apocalyptic number.

231106200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231106200 is an abundant number, since it is smaller than the sum of its proper divisors (540459000).

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

231106200 is a wasteful number, since it uses less digits than its factorization.

231106200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29661 (or 29652 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 231106200 is about 15202.1774756118. The cubic root of 231106200 is about 613.6732585872.

Adding to 231106200 its reverse (2601132), we get a palindrome (233707332).

The spelling of 231106200 in words is "two hundred thirty-one million, one hundred six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 29629 59258 88887 118516 148145 177774 237032 296290 355548 385177 444435 592580 711096 740725 770354 888870 1155531 1185160 1481450 1540708 1777740 1925885 2222175 2311062 2962900 3081416 3555480 3851770 4444350 4622124 5777655 5925800 7703540 8888700 9244248 9629425 11555310 15407080 17777400 19258850 23110620 28888275 38517700 46221240 57776550 77035400 115553100 231106200