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205230132 = 22334314409
BaseRepresentation
bin11000011101110…
…01000000110100
3112022011202211000
430032321000310
5410014331012
632210443300
75041266402
oct1416710064
9468152730
10205230132
11a5935488
1258893530
1333698a63
141d384472
151303dddc
hexc3b9034

205230132 has 48 divisors (see below), whose sum is σ = 533433600. Its totient is φ = 68235840.

The previous prime is 205230121. The next prime is 205230211. The reversal of 205230132 is 231032502.

205230132 is digitally balanced in base 3 and base 9, because in such bases 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 (18).

205230132 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44344 + ... + 48752.

It is an arithmetic number, because the mean of its divisors is an integer number (11113200).

Almost surely, 2205230132 is an apocalyptic number.

It is an amenable number.

205230132 is an abundant number, since it is smaller than the sum of its proper divisors (328203468).

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

205230132 is a wasteful number, since it uses less digits than its factorization.

205230132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 205230132 is about 14325.8553671325. The cubic root of 205230132 is about 589.8574126369.

Adding to 205230132 its reverse (231032502), we get a palindrome (436262634).

The spelling of 205230132 in words is "two hundred five million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 431 862 1293 1724 2586 3879 4409 5172 7758 8818 11637 13227 15516 17636 23274 26454 39681 46548 52908 79362 119043 158724 238086 476172 1900279 3800558 5700837 7601116 11401674 17102511 22803348 34205022 51307533 68410044 102615066 205230132