Search a number
-
+
3222035000 = 23544011607
BaseRepresentation
bin1100000000001100…
…0101101000111000
322022112211100002122
43000003011220320
523044320110000
61251415220412
7142562563022
oct30003055070
98275740078
103222035000
111403833648
1275b077708
133c46b52b2
14227cc3012
1513cd02085
hexc00c5a38

3222035000 has 80 divisors (see below), whose sum is σ = 7572763440. Its totient is φ = 1284800000.

The previous prime is 3222034993. The next prime is 3222035009. The reversal of 3222035000 is 5302223.

It is a self number, because there is not a number n which added to its sum of digits gives 3222035000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222035009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2004197 + ... + 2005803.

It is an arithmetic number, because the mean of its divisors is an integer number (94659543).

Almost surely, 23222035000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786381720).

3222035000 is an abundant number, since it is smaller than the sum of its proper divisors (4350728440).

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

3222035000 is a wasteful number, since it uses less digits than its factorization.

3222035000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 3222035000 is about 56762.9720856828. The cubic root of 3222035000 is about 1476.9872667720.

Adding to 3222035000 its reverse (5302223), we get a palindrome (3227337223).

The spelling of 3222035000 in words is "three billion, two hundred twenty-two million, thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 401 500 625 802 1000 1250 1604 1607 2005 2500 3208 3214 4010 5000 6428 8020 8035 10025 12856 16040 16070 20050 32140 40100 40175 50125 64280 80200 80350 100250 160700 200500 200875 250625 321400 401000 401750 501250 644407 803500 1002500 1004375 1288814 1607000 2005000 2008750 2577628 3222035 4017500 5155256 6444070 8035000 12888140 16110175 25776280 32220350 64440700 80550875 128881400 161101750 322203500 402754375 644407000 805508750 1611017500 3222035000