Search a number
-
+
2114220 = 2235167211
BaseRepresentation
bin1000000100001010101100
310222102011110
420010022230
51020123340
6113152020
723653623
oct10041254
93872143
102114220
111214499
1285b610
13590424
143d06ba
152bb680
hex2042ac

2114220 has 48 divisors (see below), whose sum is σ = 5983488. Its totient is φ = 557760.

The previous prime is 2114207. The next prime is 2114221. The reversal of 2114220 is 224112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2114196 and 2114205.

It is not an unprimeable number, because it can be changed into a prime (2114221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9915 + ... + 10125.

It is an arithmetic number, because the mean of its divisors is an integer number (124656).

22114220 is an apocalyptic number.

2114220 is a gapful number since it is divisible by the number (20) 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 2114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991744).

2114220 is an abundant number, since it is smaller than the sum of its proper divisors (3869268).

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

2114220 is a wasteful number, since it uses less digits than its factorization.

2114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2114220 is about 1454.0357629715. The cubic root of 2114220 is about 128.3463115377.

Adding to 2114220 its reverse (224112), we get a palindrome (2338332).

It can be divided in two parts, 21 and 14220, that added together give a palindrome (14241).

The spelling of 2114220 in words is "two million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 211 334 422 501 633 668 835 844 1002 1055 1266 1670 2004 2110 2505 2532 3165 3340 4220 5010 6330 10020 12660 35237 70474 105711 140948 176185 211422 352370 422844 528555 704740 1057110 2114220