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2114424 = 233413251
BaseRepresentation
bin1000000100001101111000
310222102110000
420010031320
51020130144
6113153000
723654334
oct10041570
93872400
102114424
111214664
1285b760
13590550
143d07c4
152bb769
hex204378

2114424 has 80 divisors (see below), whose sum is σ = 6403320. Its totient is φ = 648000.

The previous prime is 2114407. The next prime is 2114429. The reversal of 2114424 is 4244112.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2114397 and 2114406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114429) 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, 8299 + ... + 8549.

22114424 is an apocalyptic number.

2114424 is a gapful number since it is divisible by the number (24) 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 2114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201660).

2114424 is an abundant number, since it is smaller than the sum of its proper divisors (4288896).

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

2114424 is a wasteful number, since it uses less digits than its factorization.

2114424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2114424 is about 1454.1059108607. The cubic root of 2114424 is about 128.3504394281.

Adding to 2114424 its reverse (4244112), we get a palindrome (6358536).

The spelling of 2114424 in words is "two million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 251 312 324 351 468 502 648 702 753 936 1004 1053 1404 1506 2008 2106 2259 2808 3012 3263 4212 4518 6024 6526 6777 8424 9036 9789 13052 13554 18072 19578 20331 26104 27108 29367 39156 40662 54216 58734 78312 81324 88101 117468 162648 176202 234936 264303 352404 528606 704808 1057212 2114424