Search a number
-
+
220234120 = 23529373509
BaseRepresentation
bin11010010000010…
…00000110001000
3120100102001102021
431020020012020
5422334442440
633504214224
75312646661
oct1510100610
9510361367
10220234120
11103353177
126190a374
1336820162
142136c368
151450484a
hexd208188

220234120 has 64 divisors (see below), whose sum is σ = 514998000. Its totient is φ = 84661248.

The previous prime is 220234097. The next prime is 220234123. The reversal of 220234120 is 21432022.

It can be written as a sum of positive squares in 8 ways, for example, as 138909796 + 81324324 = 11786^2 + 9018^2 .

It is a super-2 number, since 2×2202341202 = 97006135224348800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220234094 and 220234103.

It is not an unprimeable number, because it can be changed into a prime (220234123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432426 + ... + 432934.

Almost surely, 2220234120 is an apocalyptic number.

220234120 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 220234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257499000).

220234120 is an abundant number, since it is smaller than the sum of its proper divisors (294763880).

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

220234120 is a wasteful number, since it uses less digits than its factorization.

220234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 220234120 is about 14840.2870592182. The cubic root of 220234120 is about 603.8951399035.

Adding to 220234120 its reverse (21432022), we get a palindrome (241666142).

The spelling of 220234120 in words is "two hundred twenty million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 373 509 580 746 1018 1160 1492 1865 2036 2545 2984 3730 4072 5090 7460 10180 10817 14761 14920 20360 21634 29522 43268 54085 59044 73805 86536 108170 118088 147610 189857 216340 295220 379714 432680 590440 759428 949285 1518856 1898570 3797140 5505853 7594280 11011706 22023412 27529265 44046824 55058530 110117060 220234120