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2022000 = 24353337
BaseRepresentation
bin111101101101001110000
310210201122220
413231221300
51004201000
6111201040
723121021
oct7555160
93721586
102022000
111161182
12816180
1355a466
143a8c48
1529e1a0
hex1eda70

2022000 has 80 divisors (see below), whose sum is σ = 6538272. Its totient is φ = 537600.

The previous prime is 2021959. The next prime is 2022011. The reversal of 2022000 is 2202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2022000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5832 + ... + 6168.

22022000 is an apocalyptic number.

2022000 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 2022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269136).

2022000 is an abundant number, since it is smaller than the sum of its proper divisors (4516272).

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

2022000 is a wasteful number, since it uses less digits than its factorization.

2022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2022000 is about 1421.9704638283. The cubic root of 2022000 is about 126.4523924235.

Adding to 2022000 its reverse (2202), we get a palindrome (2024202).

The spelling of 2022000 in words is "two million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 337 375 400 500 600 674 750 1000 1011 1200 1348 1500 1685 2000 2022 2696 3000 3370 4044 5055 5392 6000 6740 8088 8425 10110 13480 16176 16850 20220 25275 26960 33700 40440 42125 50550 67400 80880 84250 101100 126375 134800 168500 202200 252750 337000 404400 505500 674000 1011000 2022000