Search a number
-
+
410222220 = 2235411031619
BaseRepresentation
bin11000011100110…
…111111010001100
31001120220110002120
4120130313322030
51320004102340
6104412252540
713110555102
oct3034677214
91046813076
10410222220
111a0618031
12b5471150
1366cb0355
143c6a5c72
15260324d0
hex18737e8c

410222220 has 96 divisors (see below), whose sum is σ = 1188794880. Its totient is φ = 105623040.

The previous prime is 410222209. The next prime is 410222231. The reversal of 410222220 is 22222014.

It is an interprime number because it is at equal distance from previous prime (410222209) and next prime (410222231).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 410222220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252571 + ... + 254189.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2410222220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

410222220 is an abundant number, since it is smaller than the sum of its proper divisors (778572660).

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

410222220 is a wasteful number, since it uses less digits than its factorization.

410222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 410222220 is about 20253.9433197587. The cubic root of 410222220 is about 743.0300764266.

Adding to 410222220 its reverse (22222014), we get a palindrome (432444234).

The spelling of 410222220 in words is "four hundred ten million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 103 123 164 205 206 246 309 410 412 492 515 615 618 820 1030 1230 1236 1545 1619 2060 2460 3090 3238 4223 4857 6180 6476 8095 8446 9714 12669 16190 16892 19428 21115 24285 25338 32380 42230 48570 50676 63345 66379 84460 97140 126690 132758 166757 199137 253380 265516 331895 333514 398274 500271 663790 667028 796548 833785 995685 1000542 1327580 1667570 1991370 2001084 2501355 3335140 3982740 5002710 6837037 10005420 13674074 20511111 27348148 34185185 41022222 68370370 82044444 102555555 136740740 205111110 410222220