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2276432256 = 27371929253
BaseRepresentation
bin1000011110101111…
…1001100110000000
312212122111201222210
42013223321212000
514130231313011
61013515502120
7110261232510
oct20753714600
95778451883
102276432256
11a68a9427a
12536457940
132a3812b47
14178495840
15d4cb86a6
hex87af9980

2276432256 has 384 divisors, whose sum is σ = 7675948800. Its totient is φ = 583704576.

The previous prime is 2276432251. The next prime is 2276432261. The reversal of 2276432256 is 6522346722.

It is an interprime number because it is at equal distance from previous prime (2276432251) and next prime (2276432261).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2276432251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42951526 + ... + 42951578.

It is an arithmetic number, because the mean of its divisors is an integer number (19989450).

Almost surely, 22276432256 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 2276432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837974400).

2276432256 is an abundant number, since it is smaller than the sum of its proper divisors (5399516544).

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

2276432256 is a wasteful number, since it uses less digits than its factorization.

2276432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 2276432256 is about 47711.9718309776. The cubic root of 2276432256 is about 1315.4820009669.

Adding to 2276432256 its reverse (6522346722), we get a palindrome (8798778978).

It can be divided in two parts, 22764322 and 56, that added together give a triangular number (22764378 = T6747).

The spelling of 2276432256 in words is "two billion, two hundred seventy-six million, four hundred thirty-two thousand, two hundred fifty-six".