Search a number
-
+
220422120 = 23352238237
BaseRepresentation
bin11010010001101…
…01111111101000
3120100202121022020
431020311333220
5422412001440
633512224440
75314362042
oct1510657750
9510677266
10220422120
11103471446
126199b120
13368878b9
14213baa92
15145403d0
hexd235fe8

220422120 has 64 divisors (see below), whose sum is σ = 664312320. Its totient is φ = 58508544.

The previous prime is 220422101. The next prime is 220422149. The reversal of 220422120 is 21224022.

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 220422120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22642 + ... + 30878.

It is an arithmetic number, because the mean of its divisors is an integer number (10379880).

Almost surely, 2220422120 is an apocalyptic number.

220422120 is a gapful number since it is divisible by the number (20) 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 220422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332156160).

220422120 is an abundant number, since it is smaller than the sum of its proper divisors (443890200).

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

220422120 is a wasteful number, since it uses less digits than its factorization.

220422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8474 (or 8470 counting only the distinct ones).

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

The square root of 220422120 is about 14846.6198173187. The cubic root of 220422120 is about 604.0669267826.

Adding to 220422120 its reverse (21224022), we get a palindrome (241646142).

The spelling of 220422120 in words is "two hundred twenty million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1338 1784 2230 2676 3345 4460 5352 6690 8237 8920 13380 16474 24711 26760 32948 41185 49422 65896 82370 98844 123555 164740 197688 247110 329480 494220 988440 1836851 3673702 5510553 7347404 9184255 11021106 14694808 18368510 22042212 27552765 36737020 44084424 55105530 73474040 110211060 220422120