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2114436 = 2232347163
BaseRepresentation
bin1000000100001110000100
310222102110110
420010032010
51020130221
6113153020
723654352
oct10041604
93872413
102114436
111214675
1285b770
1359055c
143d07d2
152bb776
hex204384

2114436 has 48 divisors (see below), whose sum is σ = 5289984. Its totient is φ = 655776.

The previous prime is 2114429. The next prime is 2114449. The reversal of 2114436 is 6344112.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12891 + ... + 13053.

It is an arithmetic number, because the mean of its divisors is an integer number (110208).

22114436 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 2114436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644992).

2114436 is an abundant number, since it is smaller than the sum of its proper divisors (3175548).

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

2114436 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2114435) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (238).

2114436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2114436 is about 1454.1100371017. The cubic root of 2114436 is about 128.3506822369.

Adding to 2114436 its reverse (6344112), we get a palindrome (8458548).

The spelling of 2114436 in words is "two million, one hundred fourteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 163 188 276 282 326 489 564 652 978 1081 1956 2162 3243 3749 4324 6486 7498 7661 11247 12972 14996 15322 22494 22983 30644 44988 45966 91932 176203 352406 528609 704812 1057218 2114436