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2022022000 = 245323113389
BaseRepresentation
bin111100010000101…
…1001101101110000
312012220210100201201
41320201121231300
513120114201000
6532350540544
7101051621605
oct17041315560
95186710651
102022022000
11948419069
12485207754
13262bb7c2b
1415278c6ac
15bc7b296a
hex78859b70

2022022000 has 160 divisors (see below), whose sum is σ = 5160205440. Its totient is φ = 764825600.

The previous prime is 2022021983. The next prime is 2022022001. The reversal of 2022022000 is 2202202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022022001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5197806 + ... + 5198194.

It is an arithmetic number, because the mean of its divisors is an integer number (32251284).

Almost surely, 22022022000 is an apocalyptic number.

2022022000 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 2022022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580102720).

2022022000 is an abundant number, since it is smaller than the sum of its proper divisors (3138183440).

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

2022022000 is a wasteful number, since it uses less digits than its factorization.

2022022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2022022000 is about 44966.8989368847. The cubic root of 2022022000 is about 1264.5285103588.

Adding to 2022022000 its reverse (2202202), we get a palindrome (2024224202).

It can be divided in two parts, 202 and 2022000, that added together give a palindrome (2022202).

The spelling of 2022022000 in words is "two billion, twenty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 113 115 125 184 200 226 230 250 368 389 400 452 460 500 565 575 778 904 920 1000 1130 1150 1556 1808 1840 1945 2000 2260 2300 2599 2825 2875 3112 3890 4520 4600 5198 5650 5750 6224 7780 8947 9040 9200 9725 10396 11300 11500 12995 14125 15560 17894 19450 20792 22600 23000 25990 28250 31120 35788 38900 41584 43957 44735 45200 46000 48625 51980 56500 64975 71576 77800 87914 89470 97250 103960 113000 129950 143152 155600 175828 178940 194500 207920 219785 223675 226000 259900 324875 351656 357880 389000 439570 447350 519800 649750 703312 715760 778000 879140 894700 1011011 1039600 1098925 1118375 1299500 1758280 1789400 2022022 2197850 2236750 2599000 3516560 3578800 4044044 4395700 4473500 5055055 5198000 5494625 8088088 8791400 8947000 10110110 10989250 16176176 17582800 17894000 20220220 21978500 25275275 40440440 43957000 50550550 80880880 87914000 101101100 126376375 202202200 252752750 404404400 505505500 1011011000 2022022000