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2022120 = 2332541137
BaseRepresentation
bin111101101101011101000
310210201211100
413231223220
51004201440
6111201400
723121252
oct7555350
93721740
102022120
111161281
12816260
1355a529
143a8cd2
1529e230
hex1edae8

2022120 has 96 divisors (see below), whose sum is σ = 6781320. Its totient is φ = 522240.

The previous prime is 2022103. The next prime is 2022149. The reversal of 2022120 is 212202.

It can be written as a sum of positive squares in 4 ways, for example, as 1179396 + 842724 = 1086^2 + 918^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 14692 + ... + 14828.

22022120 is an apocalyptic number.

2022120 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 2022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390660).

2022120 is an abundant number, since it is smaller than the sum of its proper divisors (4759200).

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

2022120 is a wasteful number, since it uses less digits than its factorization.

2022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2022120 is about 1422.0126581715. The cubic root of 2022120 is about 126.4548939051.

Adding to 2022120 its reverse (212202), we get a palindrome (2234322).

The spelling of 2022120 in words is "two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 137 164 180 205 246 274 328 360 369 410 411 492 548 615 685 738 820 822 984 1096 1230 1233 1370 1476 1640 1644 1845 2055 2460 2466 2740 2952 3288 3690 4110 4920 4932 5480 5617 6165 7380 8220 9864 11234 12330 14760 16440 16851 22468 24660 28085 33702 44936 49320 50553 56170 67404 84255 101106 112340 134808 168510 202212 224680 252765 337020 404424 505530 674040 1011060 2022120