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2114231256 = 233241739811
BaseRepresentation
bin111111000000100…
…1001101111011000
312110100022002001100
41332001021233120
513312220400011
6545443151400
7103251445344
oct17601115730
95410262040
102114231256
11995479265
124b0075560
13279031617
14160b12624
15c5928d56
hex7e049bd8

2114231256 has 96 divisors (see below), whose sum is σ = 5946660720. Its totient is φ = 678067200.

The previous prime is 2114231227. The next prime is 2114231257. The reversal of 2114231256 is 6521324112.

2114231256 is a `hidden beast` number, since 211 + 423 + 1 + 25 + 6 = 666.

2114231256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114231257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210591 + ... + 220401.

Almost surely, 22114231256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114231256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973330360).

2114231256 is an abundant number, since it is smaller than the sum of its proper divisors (3832429464).

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

2114231256 is a wasteful number, since it uses less digits than its factorization.

2114231256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9937 (or 9930 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2114231256 is about 45980.7705024611. The cubic root of 2114231256 is about 1283.4653930704.

Adding to 2114231256 its reverse (6521324112), we get a palindrome (8635555368).

The spelling of 2114231256 in words is "two billion, one hundred fourteen million, two hundred thirty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 73 82 123 146 164 219 246 292 328 369 438 492 584 657 738 876 984 1314 1476 1752 2628 2952 2993 5256 5986 8979 9811 11972 17958 19622 23944 26937 29433 35916 39244 53874 58866 71832 78488 88299 107748 117732 176598 215496 235464 353196 402251 706392 716203 804502 1206753 1432406 1609004 2148609 2413506 2864812 3218008 3620259 4297218 4827012 5729624 6445827 7240518 8594436 9654024 12891654 14481036 17188872 25783308 28962072 29364323 51566616 58728646 88092969 117457292 176185938 234914584 264278907 352371876 528557814 704743752 1057115628 2114231256