Search a number
-
+
302220 = 223252373
BaseRepresentation
bin1001001110010001100
3120100120100
41021302030
534132340
610251100
72366052
oct1116214
9510510
10302220
11197076
12126a90
13a7739
147c1d2
155e830
hex49c8c

302220 has 72 divisors (see below), whose sum is σ = 969696. Its totient is φ = 76032.

The previous prime is 302213. The next prime is 302221. The reversal of 302220 is 22203.

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

It is not an unprimeable number, because it can be changed into a prime (302221) 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, 4104 + ... + 4176.

It is an arithmetic number, because the mean of its divisors is an integer number (13468).

2302220 is an apocalyptic number.

302220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484848).

302220 is an abundant number, since it is smaller than the sum of its proper divisors (667476).

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

302220 is a wasteful number, since it uses less digits than its factorization.

302220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 106 counting only the distinct ones).

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

The square root of 302220 is about 549.7453956151. The cubic root of 302220 is about 67.1080161561.

Adding to 302220 its reverse (22203), we get a palindrome (324423).

The spelling of 302220 in words is "three hundred two thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 73 90 92 115 138 146 180 207 219 230 276 292 345 365 414 438 460 657 690 730 828 876 1035 1095 1314 1380 1460 1679 2070 2190 2628 3285 3358 4140 4380 5037 6570 6716 8395 10074 13140 15111 16790 20148 25185 30222 33580 50370 60444 75555 100740 151110 302220