Search a number
-
+
2231033300 = 225273305621
BaseRepresentation
bin1000010011111010…
…1101110111010100
312202111002020022222
42010332231313110
514032121031200
61005214441512
7106200320156
oct20476556724
95674066288
102231033300
11a453a6381
12523203298
132972a8a62
14172438ad6
15d0cebd85
hex84faddd4

2231033300 has 36 divisors (see below), whose sum is σ = 4907678076. Its totient is φ = 880185600.

The previous prime is 2231033293. The next prime is 2231033303. The reversal of 2231033300 is 33301322.

It can be written as a sum of positive squares in 6 ways, for example, as 219869584 + 2011163716 = 14828^2 + 44846^2 .

It is a super-3 number, since 3×22310333003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231033303) 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, 145511 + ... + 160110.

It is an arithmetic number, because the mean of its divisors is an integer number (136324391).

Almost surely, 22231033300 is an apocalyptic number.

2231033300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231033300 is an abundant number, since it is smaller than the sum of its proper divisors (2676644776).

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

2231033300 is a wasteful number, since it uses less digits than its factorization.

2231033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305708 (or 305701 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 2231033300 is about 47233.8152174901. The cubic root of 2231033300 is about 1306.6783160781.

Adding to 2231033300 its reverse (33301322), we get a palindrome (2264334622).

The spelling of 2231033300 in words is "two billion, two hundred thirty-one million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 305621 611242 1222484 1528105 3056210 6112420 7640525 15281050 22310333 30562100 44620666 89241332 111551665 223103330 446206660 557758325 1115516650 2231033300