Search a number
-
+
2220143254252 = 22711471575771693
BaseRepresentation
bin100000010011101010110…
…110011001101011101100
321212020120121012212121021
4200103222312121223230
5242333323133114002
64415530354543524
7316254135201610
oct40235266315354
97766517185537
102220143254252
11786614a96050
122ba341597ba4
13131487b377b1
1479653ca7340
153cb3ea68737
hex204ead99aec

2220143254252 has 192 divisors, whose sum is σ = 4990095323136. Its totient is φ = 839240663040.

The previous prime is 2220143254249. The next prime is 2220143254291. The reversal of 2220143254252 is 2524523410222.

2220143254252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1311365518 + ... + 1311367210.

It is an arithmetic number, because the mean of its divisors is an integer number (25990079808).

Almost surely, 22220143254252 is an apocalyptic number.

2220143254252 is a gapful number since it is divisible by the number (22) 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 2220143254252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495047661568).

2220143254252 is an abundant number, since it is smaller than the sum of its proper divisors (2769952068884).

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

2220143254252 is a wasteful number, since it uses less digits than its factorization.

2220143254252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 2220143254252 its reverse (2524523410222), we get a palindrome (4744666664474).

The spelling of 2220143254252 in words is "two trillion, two hundred twenty billion, one hundred forty-three million, two hundred fifty-four thousand, two hundred fifty-two".