Search a number
-
+
232405300 = 225217136709
BaseRepresentation
bin11011101101000…
…11100100110100
3121012022102010201
431312203210310
5433443432200
635021130244
75521261321
oct1566434464
9535272121
10232405300
1110a2065a6
12659b9984
13391c203a
1422c19b48
151560ac6a
hexdda3934

232405300 has 36 divisors (see below), whose sum is σ = 533989260. Its totient is φ = 87493120.

The previous prime is 232405297. The next prime is 232405337. The reversal of 232405300 is 3504232.

232405300 is digitally balanced in base 3, 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 6 ways, for example, as 2155024 + 230250276 = 1468^2 + 15174^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66655 + ... + 70054.

It is an arithmetic number, because the mean of its divisors is an integer number (14833035).

Almost surely, 2232405300 is an apocalyptic number.

232405300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232405300 is an abundant number, since it is smaller than the sum of its proper divisors (301583960).

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

232405300 is a wasteful number, since it uses less digits than its factorization.

232405300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136740 (or 136733 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 232405300 is about 15244.8450303701. The cubic root of 232405300 is about 614.8209759395.

Adding to 232405300 its product of nonzero digits (720), we get a triangular number (232406020 = T21559).

Adding to 232405300 its reverse (3504232), we get a palindrome (235909532).

The spelling of 232405300 in words is "two hundred thirty-two million, four hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 136709 273418 546836 683545 1367090 2324053 2734180 3417725 4648106 6835450 9296212 11620265 13670900 23240530 46481060 58101325 116202650 232405300