Search a number
-
+
120220032222 = 23347274917231
BaseRepresentation
bin110111111110110101…
…1000001110011011110
3102111022100012101222000
41233331223001303132
53432202312012342
6131121152303130
711454110261523
oct1577553016336
9374270171860
10120220032222
1146a9208a634
121b371541aa6
13b44b966654
145b6666114a
1531d946a44c
hex1bfdac1cde

120220032222 has 64 divisors (see below), whose sum is σ = 272954880000. Its totient is φ = 39204177120.

The previous prime is 120220032211. The next prime is 120220032227. The reversal of 120220032222 is 222230022021.

120220032222 is a `hidden beast` number, since 120 + 2 + 200 + 322 + 22 = 666.

It is a super-2 number, since 2×1202200322222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120220032195 and 120220032204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220032227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6968347 + ... + 6985577.

It is an arithmetic number, because the mean of its divisors is an integer number (4264920000).

Almost surely, 2120220032222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120220032222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136477440000).

120220032222 is an abundant number, since it is smaller than the sum of its proper divisors (152734847778).

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

120220032222 is a wasteful number, since it uses less digits than its factorization.

120220032222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20038 (or 20032 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 120220032222 its reverse (222230022021), we get a palindrome (342450054243).

The spelling of 120220032222 in words is "one hundred twenty billion, two hundred twenty million, thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 2749 5498 8247 16494 17231 24741 34462 49482 51693 74223 103386 129203 148446 155079 258406 310158 387609 465237 775218 809857 930474 1162827 1619714 2325654 2429571 3488481 4859142 6976962 7288713 14577426 21866139 43732278 47368019 94736038 142104057 284208114 426312171 852624342 1278936513 2226296893 2557873026 4452593786 6678890679 13357781358 20036672037 40073344074 60110016111 120220032222