Search a number
-
+
2112140214 = 2321717938561
BaseRepresentation
bin111110111100100…
…1011001110110110
312110012100211200100
41331321023032312
513311201441324
6545330254530
7103224616122
oct17571131666
95405324610
102112140214
11994280228
124ab427446
1327877b912
1416072a582
15c56644c9
hex7de4b3b6

2112140214 has 48 divisors (see below), whose sum is σ = 4872694320. Its totient is φ = 658913280.

The previous prime is 2112140183. The next prime is 2112140243. The reversal of 2112140214 is 4120412112.

It is a super-2 number, since 2×21121402142 = 8922272567191931592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35494 + ... + 74054.

It is an arithmetic number, because the mean of its divisors is an integer number (101514465).

Almost surely, 22112140214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112140214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436347160).

2112140214 is an abundant number, since it is smaller than the sum of its proper divisors (2760554106).

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

2112140214 is a wasteful number, since it uses less digits than its factorization.

2112140214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38765 (or 38762 counting only the distinct ones).

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

The square root of 2112140214 is about 45958.0266547640. The cubic root of 2112140214 is about 1283.0421241237.

Adding to 2112140214 its reverse (4120412112), we get a palindrome (6232552326).

It can be divided in two parts, 211 and 2140214, that multiplied together give a palindrome (451585154).

The spelling of 2112140214 in words is "two billion, one hundred twelve million, one hundred forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 179 306 358 537 1074 1611 3043 3222 6086 9129 18258 27387 38561 54774 77122 115683 231366 347049 655537 694098 1311074 1966611 3933222 5899833 6902419 11799666 13804838 20707257 41414514 62121771 117341123 124243542 234682246 352023369 704046738 1056070107 2112140214