Search a number
-
+
232040100 = 223522333629
BaseRepresentation
bin11011101010010…
…10011010100100
3121011121212011210
431311022122210
5433400240400
635005231420
75515210515
oct1565123244
9534555153
10232040100
11109a87186
1265862570
13390c4a46
1422b62a0c
1515587950
hexdd4a6a4

232040100 has 72 divisors (see below), whose sum is σ = 700580160. Its totient is φ = 59185280.

The previous prime is 232040069. The next prime is 232040101. The reversal of 232040100 is 1040232.

232040100 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232040101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9915 + ... + 23714.

It is an arithmetic number, because the mean of its divisors is an integer number (9730280).

Almost surely, 2232040100 is an apocalyptic number.

232040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232040100 is an abundant number, since it is smaller than the sum of its proper divisors (468540060).

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

232040100 is a wasteful number, since it uses less digits than its factorization.

232040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33669 (or 33662 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 232040100 is about 15232.8625018412. The cubic root of 232040100 is about 614.4987653691.

Adding to 232040100 its reverse (1040232), we get a palindrome (233080332).

The spelling of 232040100 in words is "two hundred thirty-two million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 33629 67258 100887 134516 168145 201774 336290 403548 504435 672580 773467 840725 1008870 1546934 1681450 2017740 2320401 2522175 3093868 3362900 3867335 4640802 5044350 7734670 9281604 10088700 11602005 15469340 19336675 23204010 38673350 46408020 58010025 77346700 116020050 232040100