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221130 = 2355713
BaseRepresentation
bin110101111111001010
3102020100000
4311333022
524034010
64423430
71610460
oct657712
9366300
10221130
11141158
12a7b76
1379860
145a830
15457c0
hex35fca

221130 has 96 divisors (see below), whose sum is σ = 733824. Its totient is φ = 46656.

The previous prime is 221101. The next prime is 221159. The reversal of 221130 is 31122.

221130 = 752 + 762 + ... + 1022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221101) and next prime (221159).

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

It is a congruent number.

It is an unprimeable number.

221130 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 47 ways as a sum of consecutive naturals, for example, 17004 + ... + 17016.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2221130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912).

221130 is an abundant number, since it is smaller than the sum of its proper divisors (512694).

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

221130 is a wasteful number, since it uses less digits than its factorization.

221130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 221130 is about 470.2446171941. The cubic root of 221130 is about 60.4712884278.

Adding to 221130 its reverse (31122), we get a palindrome (252252).

It can be divided in two parts, 221 and 130, that added together give a triangular number (351 = T26).

The spelling of 221130 in words is "two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 243 270 273 315 351 378 390 405 455 486 546 567 585 630 702 810 819 910 945 1053 1134 1170 1215 1365 1638 1701 1755 1890 2106 2430 2457 2730 2835 3159 3402 3510 4095 4914 5265 5670 6318 7371 8190 8505 10530 12285 14742 15795 17010 22113 24570 31590 36855 44226 73710 110565 221130