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2022820 = 225101141
BaseRepresentation
bin111101101110110100100
310210202210021
413231312210
51004212240
6111204524
723123302
oct7556644
93722707
102022820
111161858
12816744
1355a947
143a9272
1529e54a
hex1edda4

2022820 has 12 divisors (see below), whose sum is σ = 4247964. Its totient is φ = 809120.

The previous prime is 2022803. The next prime is 2022841. The reversal of 2022820 is 282202.

It can be written as a sum of positive squares in 2 ways, for example, as 1205604 + 817216 = 1098^2 + 904^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2022794 and 2022803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50551 + ... + 50590.

It is an arithmetic number, because the mean of its divisors is an integer number (353997).

22022820 is an apocalyptic number.

2022820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022820 is an abundant number, since it is smaller than the sum of its proper divisors (2225144).

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

2022820 is a wasteful number, since it uses less digits than its factorization.

2022820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101150 (or 101148 counting only the distinct ones).

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

The square root of 2022820 is about 1422.2587668916. The cubic root of 2022820 is about 126.4694839085.

The spelling of 2022820 in words is "two million, twenty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 101141 202282 404564 505705 1011410 2022820