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2272634112 = 28372131461
BaseRepresentation
bin1000011101110101…
…1010010100000000
312212101100202220210
42013131122110000
514123243242422
61013302234120
7110214033300
oct20735322400
95771322823
102272634112
11a6692a711
12535125940
132a2ab3118
14177b87600
15d47b810c
hex8775a500

2272634112 has 216 divisors, whose sum is σ = 7105123872. Its totient is φ = 642969600.

The previous prime is 2272634093. The next prime is 2272634113. The reversal of 2272634112 is 2114362722.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2272634112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272634113) 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, 4929562 + ... + 4930022.

It is an arithmetic number, because the mean of its divisors is an integer number (32894092).

Almost surely, 22272634112 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 2272634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552561936).

2272634112 is an abundant number, since it is smaller than the sum of its proper divisors (4832489760).

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

2272634112 is a wasteful number, since it uses less digits than its factorization.

2272634112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 604 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2272634112 is about 47672.1523743160. The cubic root of 2272634112 is about 1314.7499824909.

Adding to 2272634112 its reverse (2114362722), we get a palindrome (4386996834).

The spelling of 2272634112 in words is "two billion, two hundred seventy-two million, six hundred thirty-four thousand, one hundred twelve".