Search a number
-
+
2202002000 = 245311101991
BaseRepresentation
bin1000001100111111…
…1110001001010000
312200110110021212122
42003033332021100
514002203031000
61002300313412
7105365464622
oct20317761120
95613407778
102202002000
11a2aa77770
12515542868
13291282983
1416c63cc12
15cd4b5085
hex833fe250

2202002000 has 160 divisors (see below), whose sum is σ = 5871909888. Its totient is φ = 792000000.

The previous prime is 2202001981. The next prime is 2202002009. The reversal of 2202002000 is 2002022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202002009) 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, 2221505 + ... + 2222495.

Almost surely, 22202002000 is an apocalyptic number.

2202002000 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 2202002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935954944).

2202002000 is an abundant number, since it is smaller than the sum of its proper divisors (3669907888).

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

2202002000 is a wasteful number, since it uses less digits than its factorization.

2202002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2202002000 is about 46925.4941369827. The cubic root of 2202002000 is about 1300.9858399819.

Adding to 2202002000 its reverse (2002022), we get a palindrome (2204004022).

The spelling of 2202002000 in words is "two billion, two hundred two million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 125 176 200 202 220 250 275 400 404 440 500 505 550 808 880 991 1000 1010 1100 1111 1375 1616 1982 2000 2020 2200 2222 2525 2750 3964 4040 4400 4444 4955 5050 5500 5555 7928 8080 8888 9910 10100 10901 11000 11110 12625 15856 17776 19820 20200 21802 22000 22220 24775 25250 27775 39640 40400 43604 44440 49550 50500 54505 55550 79280 87208 88880 99100 100091 101000 109010 111100 123875 138875 174416 198200 200182 202000 218020 222200 247750 272525 277750 396400 400364 436040 444400 495500 500455 545050 555500 800728 872080 991000 1000910 1090100 1101001 1111000 1362625 1601456 1982000 2001820 2180200 2202002 2222000 2502275 2725250 4003640 4360400 4404004 5004550 5450500 5505005 8007280 8808008 10009100 10901000 11010010 12511375 17616016 20018200 21802000 22020020 25022750 27525025 40036400 44040040 50045500 55050050 88080080 100091000 110100100 137625125 200182000 220200200 275250250 440400400 550500500 1101001000 2202002000