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2234930976 = 2532172389223
BaseRepresentation
bin1000010100110110…
…0101011100100000
312202202102020221100
42011031211130200
514034120242401
61005434154400
7106245412515
oct20515453440
95682366840
102234930976
11a476187a3
12524582a00
13298041b85
14172b7130c
15d131bb86
hex85365720

2234930976 has 288 divisors, whose sum is σ = 7132769280. Its totient is φ = 660160512.

The previous prime is 2234930941. The next prime is 2234930983. The reversal of 2234930976 is 6790394322.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10022001 + ... + 10022223.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 22234930976 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 2234930976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566384640).

2234930976 is an abundant number, since it is smaller than the sum of its proper divisors (4897838304).

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

2234930976 is a wasteful number, since it uses less digits than its factorization.

2234930976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 2234930976 is about 47275.0565943606. The cubic root of 2234930976 is about 1307.4388075975.

The spelling of 2234930976 in words is "two billion, two hundred thirty-four million, nine hundred thirty thousand, nine hundred seventy-six".