Search a number
-
+
2022876 = 223283677
BaseRepresentation
bin111101101110111011100
310210202212100
413231313130
51004213001
6111205100
723123412
oct7556734
93722770
102022876
1111618a9
12816790
1355a98b
143a92b2
1529e586
hex1edddc

2022876 has 36 divisors (see below), whose sum is σ = 5182632. Its totient is φ = 665184.

The previous prime is 2022869. The next prime is 2022877. The reversal of 2022876 is 6782202.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20228762 = 8184054622752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2650 + ... + 3326.

It is an arithmetic number, because the mean of its divisors is an integer number (143962).

22022876 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 2022876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591316).

2022876 is an abundant number, since it is smaller than the sum of its proper divisors (3159756).

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

2022876 is a wasteful number, since it uses less digits than its factorization.

2022876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2022876 is about 1422.2784537495. The cubic root of 2022876 is about 126.4706509634.

The spelling of 2022876 in words is "two million, twenty-two thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 677 747 996 1354 1494 2031 2708 2988 4062 6093 8124 12186 24372 56191 112382 168573 224764 337146 505719 674292 1011438 2022876