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2022000030 = 233514950261
BaseRepresentation
bin111100010000101…
…0100010110011110
312012220202020121000
41320201110112132
513120113000110
6532350251130
7101051500551
oct17041242636
95186666530
102022000030
11948403606
124851b6aa6
13262baac2b
14152784698
15bc7ab1c0
hex7885459e

2022000030 has 64 divisors (see below), whose sum is σ = 5428296000. Its totient is φ = 535570560.

The previous prime is 2021999999. The next prime is 2022000037. The reversal of 2022000030 is 300002202.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2021999976 and 2022000021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022000037) 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, 15100 + ... + 65360.

It is an arithmetic number, because the mean of its divisors is an integer number (84817125).

Almost surely, 22022000030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714148000).

2022000030 is an abundant number, since it is smaller than the sum of its proper divisors (3406295970).

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

2022000030 is a wasteful number, since it uses less digits than its factorization.

2022000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50426 (or 50420 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2022000030 is about 44966.6546454148. The cubic root of 2022000030 is about 1264.5239304891.

Adding to 2022000030 its reverse (300002202), we get a palindrome (2322002232).

The spelling of 2022000030 in words is "two billion, twenty-two million, thirty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 270 298 447 745 894 1341 1490 2235 2682 4023 4470 6705 8046 13410 20115 40230 50261 100522 150783 251305 301566 452349 502610 753915 904698 1357047 1507830 2261745 2714094 4523490 6785235 7488889 13570470 14977778 22466667 37444445 44933334 67400001 74888890 112333335 134800002 202200003 224666670 337000005 404400006 674000010 1011000015 2022000030