Search a number
-
+
231011400 = 23352521739
BaseRepresentation
bin11011100010011…
…11010001001000
3121002200121001210
431301033101020
5433114331100
634531213120
75503364424
oct1561172110
9532617053
10231011400
11109444314
12654471a0
1338b24749
1422975b84
1515432c50
hexdc4f448

231011400 has 96 divisors (see below), whose sum is σ = 718480800. Its totient is φ = 61401600.

The previous prime is 231011399. The next prime is 231011413. The reversal of 231011400 is 4110132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312231 + ... + 312969.

It is an arithmetic number, because the mean of its divisors is an integer number (7484175).

Almost surely, 2231011400 is an apocalyptic number.

231011400 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 231011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359240400).

231011400 is an abundant number, since it is smaller than the sum of its proper divisors (487469400).

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

231011400 is a wasteful number, since it uses less digits than its factorization.

231011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 231011400 is about 15199.0591814099. The cubic root of 231011400 is about 613.5893373115.

Adding to 231011400 its reverse (4110132), we get a palindrome (235121532).

The spelling of 231011400 in words is "two hundred thirty-one million, eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 521 600 739 1042 1478 1563 2084 2217 2605 2956 3126 3695 4168 4434 5210 5912 6252 7390 7815 8868 10420 11085 12504 13025 14780 15630 17736 18475 20840 22170 26050 29560 31260 36950 39075 44340 52100 55425 62520 73900 78150 88680 104200 110850 147800 156300 221700 312600 385019 443400 770038 1155057 1540076 1925095 2310114 3080152 3850190 4620228 5775285 7700380 9240456 9625475 11550570 15400760 19250950 23101140 28876425 38501900 46202280 57752850 77003800 115505700 231011400