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2022160 = 245723157
BaseRepresentation
bin111101101101100010000
310210201212211
413231230100
51004202120
6111201504
723121340
oct7555420
93721784
102022160
111161308
12816294
1355a55a
143a8d20
1529e25a
hex1edb10

2022160 has 80 divisors (see below), whose sum is σ = 5642496. Its totient is φ = 658944.

The previous prime is 2022157. The next prime is 2022187. The reversal of 2022160 is 612202.

It is a happy number.

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

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2022160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12802 + ... + 12958.

22022160 is an apocalyptic number.

2022160 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 2022160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821248).

2022160 is an abundant number, since it is smaller than the sum of its proper divisors (3620336).

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

2022160 is a wasteful number, since it uses less digits than its factorization.

2022160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2022160 is about 1422.0267226744. The cubic root of 2022160 is about 126.4557277102.

Adding to 2022160 its reverse (612202), we get a palindrome (2634362).

The spelling of 2022160 in words is "two million, twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 157 161 184 230 280 314 322 368 460 560 628 644 785 805 920 1099 1256 1288 1570 1610 1840 2198 2512 2576 3140 3220 3611 4396 5495 6280 6440 7222 8792 10990 12560 12880 14444 17584 18055 21980 25277 28888 36110 43960 50554 57776 72220 87920 101108 126385 144440 202216 252770 288880 404432 505540 1011080 2022160