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2234606976 = 273272311277
BaseRepresentation
bin1000010100110001…
…0110010110000000
312202201210210111100
42011030112112000
514034024410401
61005423214400
7106242563100
oct20514262600
95681723440
102234606976
11a47417328
12524447400
13297c5a564
14172ac9200
15d12a5b86
hex85316580

2234606976 has 288 divisors, whose sum is σ = 7727503680. Its totient is φ = 617379840.

The previous prime is 2234606953. The next prime is 2234606987. The reversal of 2234606976 is 6796064322.

2234606976 is a `hidden beast` number, since 2 + 2 + 34 + 606 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 1749250 + ... + 1750526.

It is an arithmetic number, because the mean of its divisors is an integer number (26831610).

Almost surely, 22234606976 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 2234606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863751840).

2234606976 is an abundant number, since it is smaller than the sum of its proper divisors (5492896704).

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

2234606976 is a wasteful number, since it uses less digits than its factorization.

2234606976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2234606976 is about 47271.6297159300. The cubic root of 2234606976 is about 1307.3756243418.

The spelling of 2234606976 in words is "two billion, two hundred thirty-four million, six hundred six thousand, nine hundred seventy-six".