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232321220 = 225113102797
BaseRepresentation
bin11011101100011…
…11000011000100
3121012011010210122
431312033003010
5433433234340
635015241112
75520461225
oct1566170304
9535133718
10232321220
1110a15940a
1265979198
13391929a1
1422bd724c
15155e0db5
hexdd8f0c4

232321220 has 24 divisors (see below), whose sum is σ = 492196824. Its totient is φ = 92105216.

The previous prime is 232321213. The next prime is 232321231. The reversal of 232321220 is 22123232.

232321220 is digitally balanced in base 2, 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 4 ways, for example, as 9535744 + 222785476 = 3088^2 + 14926^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49139 + ... + 53658.

It is an arithmetic number, because the mean of its divisors is an integer number (20508201).

Almost surely, 2232321220 is an apocalyptic number.

232321220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232321220 is an abundant number, since it is smaller than the sum of its proper divisors (259875604).

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

232321220 is a wasteful number, since it uses less digits than its factorization.

232321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102919 (or 102917 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 232321220 is about 15242.0871274245. The cubic root of 232321220 is about 614.7468233235.

Adding to 232321220 its reverse (22123232), we get a palindrome (254444452).

It can be divided in two parts, 2323212 and 20, that added together give a palindrome (2323232).

The spelling of 232321220 in words is "two hundred thirty-two million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 102797 205594 411188 513985 1027970 2055940 11616061 23232122 46464244 58080305 116160610 232321220