Search a number
-
+
2201969280 = 27357198623
BaseRepresentation
bin1000001100111111…
…0110001010000000
312200110101121222210
42003033312022000
514002201004110
61002255502120
7105365300340
oct20317661200
95613347883
102201969280
11a2aa55125
12515527940
13291270b04
1416c630d20
15cd4aa520
hex833f6280

2201969280 has 256 divisors, whose sum is σ = 8444620800. Its totient is φ = 476762112.

The previous prime is 2201969279. The next prime is 2201969303. The reversal of 2201969280 is 829691022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251049 + ... + 259671.

It is an arithmetic number, because the mean of its divisors is an integer number (32986800).

Almost surely, 22201969280 is an apocalyptic number.

2201969280 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 2201969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222310400).

2201969280 is an abundant number, since it is smaller than the sum of its proper divisors (6242651520).

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

2201969280 is a wasteful number, since it uses less digits than its factorization.

2201969280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8671 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 2201969280 is about 46925.1454979098. The cubic root of 2201969280 is about 1300.9793960780.

The spelling of 2201969280 in words is "two billion, two hundred one million, nine hundred sixty-nine thousand, two hundred eighty".