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2243101300 = 22521114271429
BaseRepresentation
bin1000010110110011…
…0000001001110100
312210022210100111221
42011230300021310
514043213220200
61010325240124
7106405021636
oct20554601164
95708710457
102243101300
11a51199230
12527263044
1329994299b
14173c9aa56
15d1dd291a
hex85b30274

2243101300 has 72 divisors (see below), whose sum is σ = 5317472160. Its totient is φ = 814531200.

The previous prime is 2243101291. The next prime is 2243101303. The reversal of 2243101300 is 31013422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243101303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1568986 + ... + 1570414.

It is an arithmetic number, because the mean of its divisors is an integer number (73853780).

Almost surely, 22243101300 is an apocalyptic number.

2243101300 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 2243101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658736080).

2243101300 is an abundant number, since it is smaller than the sum of its proper divisors (3074370860).

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

2243101300 is a wasteful number, since it uses less digits than its factorization.

2243101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2243101300 is about 47361.3903934418. The cubic root of 2243101300 is about 1309.0300883494.

Adding to 2243101300 its reverse (31013422), we get a palindrome (2274114722).

The spelling of 2243101300 in words is "two billion, two hundred forty-three million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1427 1429 2854 2858 5708 5716 7135 7145 14270 14290 15697 15719 28540 28580 31394 31438 35675 35725 62788 62876 71350 71450 78485 78595 142700 142900 156970 157190 313940 314380 392425 392975 784850 785950 1569700 1571900 2039183 4078366 8156732 10195915 20391830 22431013 40783660 44862026 50979575 89724052 101959150 112155065 203918300 224310130 448620260 560775325 1121550650 2243101300