Search a number
-
+
2236772736 = 273211199887
BaseRepresentation
bin1000010101010010…
…0111000110000000
312202212212211100200
42011110213012000
514040103211421
61005541445200
7106300153212
oct20524470600
95685784320
102236772736
11a48666510
12525110800
13298538283
141730d05b2
15d1582726
hex85527180

2236772736 has 192 divisors, whose sum is σ = 7064928000. Its totient is φ = 673643520.

The previous prime is 2236772719. The next prime is 2236772743. The reversal of 2236772736 is 6372776322.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2236772691 and 2236772700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2521285 + ... + 2522171.

It is an arithmetic number, because the mean of its divisors is an integer number (36796500).

Almost surely, 22236772736 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 2236772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532464000).

2236772736 is an abundant number, since it is smaller than the sum of its proper divisors (4828155264).

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

2236772736 is a wasteful number, since it uses less digits than its factorization.

2236772736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1102 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The square root of 2236772736 is about 47294.5317769401. The cubic root of 2236772736 is about 1307.7978533382.

The spelling of 2236772736 in words is "two billion, two hundred thirty-six million, seven hundred seventy-two thousand, seven hundred thirty-six".