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203220 = 223251129
BaseRepresentation
bin110001100111010100
3101022202200
4301213110
523000340
64204500
71504323
oct614724
9338680
10203220
11129756
1299730
1371664
14540ba
1540330
hex319d4

203220 has 36 divisors (see below), whose sum is σ = 616980. Its totient is φ = 54144.

The previous prime is 203213. The next prime is 203221. The reversal of 203220 is 22302.

203220 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 2 ways, for example, as 41616 + 161604 = 204^2 + 402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203220.

It is not an unprimeable number, because it can be changed into a prime (203221) by changing a digit.

203220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385 + ... + 744.

2203220 is an apocalyptic number.

203220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203220 is an abundant number, since it is smaller than the sum of its proper divisors (413760).

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

203220 is a wasteful number, since it uses less digits than its factorization.

203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 203220 is about 450.7992901503. The cubic root of 203220 is about 58.7925299409.

Adding to 203220 its reverse (22302), we get a palindrome (225522).

It can be divided in two parts, 20 and 3220, that added together give a triangular number (3240 = T80).

The spelling of 203220 in words is "two hundred three thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1129 2258 3387 4516 5645 6774 10161 11290 13548 16935 20322 22580 33870 40644 50805 67740 101610 203220