Search a number
-
+
2282020 = 2251367131
BaseRepresentation
bin1000101101001000100100
311021221100021
420231020210
51041011040
6120524524
725253056
oct10551044
94257307
102282020
111319574
12920744
1361b910
144358d6
1530124a
hex22d224

2282020 has 48 divisors (see below), whose sum is σ = 5277888. Its totient is φ = 823680.

The previous prime is 2282017. The next prime is 2282023. The reversal of 2282020 is 202822.

It is an interprime number because it is at equal distance from previous prime (2282017) and next prime (2282023).

It is a junction number, because it is equal to n+sod(n) for n = 2281985 and 2282003.

It is not an unprimeable number, because it can be changed into a prime (2282023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17355 + ... + 17485.

It is an arithmetic number, because the mean of its divisors is an integer number (109956).

22282020 is an apocalyptic number.

2282020 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 2282020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638944).

2282020 is an abundant number, since it is smaller than the sum of its proper divisors (2995868).

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

2282020 is a wasteful number, since it uses less digits than its factorization.

2282020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2282020 is about 1510.6356278070. The cubic root of 2282020 is about 131.6557451462.

Adding to 2282020 its reverse (202822), we get a palindrome (2484842).

The spelling of 2282020 in words is "two million, two hundred eighty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 131 134 260 262 268 335 524 655 670 871 1310 1340 1703 1742 2620 3406 3484 4355 6812 8515 8710 8777 17030 17420 17554 34060 35108 43885 87770 114101 175540 228202 456404 570505 1141010 2282020