Search a number
-
+
2112211242 = 23424154101
BaseRepresentation
bin111110111100101…
…1100100100101010
312110012111110010000
41331321130210222
513311211224432
6545332003430
7103225333161
oct17571344452
95405443100
102112211242
11994319629
124ab460576
132787a504b
141607483d8
15c567a57c
hex7de5c92a

2112211242 has 40 divisors (see below), whose sum is σ = 4752644292. Its totient is φ = 701136000.

The previous prime is 2112211219. The next prime is 2112211243. The reversal of 2112211242 is 2421122112.

2112211242 is a `hidden beast` number, since 211 + 2 + 211 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1944016281 + 168194961 = 44091^2 + 12969^2 .

It is a super-2 number, since 2×21122112422 = 8922872661662365128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2112211243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11992 + ... + 66092.

Almost surely, 22112211242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112211242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376322146).

2112211242 is an abundant number, since it is smaller than the sum of its proper divisors (2640433050).

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

2112211242 is a wasteful number, since it uses less digits than its factorization.

2112211242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54356 (or 54347 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 2112211242 is about 45958.7993968511. The cubic root of 2112211242 is about 1283.0565062015.

Adding to 2112211242 its reverse (2421122112), we get a palindrome (4533333354).

The spelling of 2112211242 in words is "two billion, one hundred twelve million, two hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 241 482 723 1446 2169 4338 6507 13014 19521 39042 54101 108202 162303 324606 486909 973818 1460727 2921454 4382181 8764362 13038341 26076682 39115023 78230046 117345069 234690138 352035207 704070414 1056105621 2112211242