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2243672116 = 227293677529
BaseRepresentation
bin1000010110111011…
…1011100000110100
312210100212100112021
42011232323200310
514043340001431
61010345402524
7106412620060
oct20556734064
95710770467
102243672116
11a51549084
12527499444
13299ab274a
14173da8aa0
15d1e96b11
hex85bbb834

2243672116 has 48 divisors (see below), whose sum is σ = 4655347200. Its totient is φ = 925763328.

The previous prime is 2243672107. The next prime is 2243672117. The reversal of 2243672116 is 6112763422.

2243672116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243672117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294240 + ... + 301768.

It is an arithmetic number, because the mean of its divisors is an integer number (96986400).

Almost surely, 22243672116 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 2243672116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327673600).

2243672116 is an abundant number, since it is smaller than the sum of its proper divisors (2411675084).

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

2243672116 is a wasteful number, since it uses less digits than its factorization.

2243672116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7936 (or 7934 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 2243672116 is about 47367.4161845461. The cubic root of 2243672116 is about 1309.1411179530.

The spelling of 2243672116 in words is "two billion, two hundred forty-three million, six hundred seventy-two thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 29 58 116 203 367 406 734 812 1468 2569 5138 7529 10276 10643 15058 21286 30116 42572 52703 74501 105406 149002 210812 218341 298004 436682 873364 1528387 2763143 3056774 5526286 6113548 11052572 19342001 38684002 77368004 80131147 160262294 320524588 560918029 1121836058 2243672116