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3022133220 = 2233538914387
BaseRepresentation
bin1011010000100010…
…0001011111100100
321210121200021102000
42310020201133210
522142131230340
61215514445300
7134614465011
oct26410413744
97717607360
103022133220
111310a08467
12704133830
13392163912
14209528708
1512a4b6d30
hexb42217e4

3022133220 has 96 divisors (see below), whose sum is σ = 9427017600. Its totient is φ = 803774592.

The previous prime is 3022133209. The next prime is 3022133221. The reversal of 3022133220 is 223312203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3022133193 and 3022133202.

It is not an unprimeable number, because it can be changed into a prime (3022133221) 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, 202867 + ... + 217253.

It is an arithmetic number, because the mean of its divisors is an integer number (98198100).

Almost surely, 23022133220 is an apocalyptic number.

3022133220 is a gapful number since it is divisible by the number (30) 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 3022133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713508800).

3022133220 is an abundant number, since it is smaller than the sum of its proper divisors (6404884380).

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

3022133220 is a wasteful number, since it uses less digits than its factorization.

3022133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14794 (or 14786 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3022133220 is about 54973.9321860825. The cubic root of 3022133220 is about 1445.7877307596.

Adding to 3022133220 its reverse (223312203), we get a palindrome (3245445423).

The spelling of 3022133220 in words is "three billion, twenty-two million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 389 540 778 1167 1556 1945 2334 3501 3890 4668 5835 7002 7780 10503 11670 14004 14387 17505 21006 23340 28774 35010 42012 43161 52515 57548 70020 71935 86322 105030 129483 143870 172644 210060 215805 258966 287740 388449 431610 517932 647415 776898 863220 1294830 1553796 1942245 2589660 3884490 5596543 7768980 11193086 16789629 22386172 27982715 33579258 50368887 55965430 67158516 83948145 100737774 111930860 151106661 167896290 201475548 251844435 302213322 335792580 503688870 604426644 755533305 1007377740 1511066610 3022133220