Search a number
-
+
3322200196 = 227235348017
BaseRepresentation
bin1100011000000100…
…1100000010000100
322120112022020220201
43012001030002010
523300440401241
61305354140244
7145220143600
oct30601140204
98515266821
103322200196
1114553281a7
12788721684
1340c386043
14237318500
151469da931
hexc604c084

3322200196 has 36 divisors (see below), whose sum is σ = 6782350428. Its totient is φ = 1419737088.

The previous prime is 3322200191. The next prime is 3322200199. The reversal of 3322200196 is 6910022233.

It can be written as a sum of positive squares in 2 ways, for example, as 928055296 + 2394144900 = 30464^2 + 48930^2 .

It is a super-2 number, since 2×33222001962 = 22074028284604876832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3322200191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45180 + ... + 93196.

It is an arithmetic number, because the mean of its divisors is an integer number (188398623).

Almost surely, 23322200196 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 3322200196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391175214).

3322200196 is an abundant number, since it is smaller than the sum of its proper divisors (3460150232).

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

3322200196 is a wasteful number, since it uses less digits than its factorization.

3322200196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48388 (or 48379 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 3322200196 is about 57638.5304809205. The cubic root of 3322200196 is about 1492.1366574077.

The spelling of 3322200196 in words is "three billion, three hundred twenty-two million, two hundred thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 353 706 1412 2471 4942 9884 17297 34594 48017 69188 96034 192068 336119 672238 1344476 2352833 4705666 9411332 16950001 33900002 67800004 118650007 237300014 474600028 830550049 1661100098 3322200196