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2234294016 = 2834170957
BaseRepresentation
bin1000010100101100…
…1001111100000000
312202201012220012020
42011023021330000
514033434402031
61005412401440
7106240120503
oct20513117400
95681186166
102234294016
11a47223189
12524316280
13297b7ac86
14172a4713a
15d1243096
hex852c9f00

2234294016 has 72 divisors (see below), whose sum is σ = 6091602384. Its totient is φ = 726589440.

The previous prime is 2234293993. The next prime is 2234294017. The reversal of 2234294016 is 6104924322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234294017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3991 + ... + 66966.

Almost surely, 22234294016 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 2234294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045801192).

2234294016 is an abundant number, since it is smaller than the sum of its proper divisors (3857308368).

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

2234294016 is an equidigital number, since it uses as much as digits as its factorization.

2234294016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71017 (or 71003 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2234294016 is about 47268.3193693197. The cubic root of 2234294016 is about 1307.3145881981.

The spelling of 2234294016 in words is "two billion, two hundred thirty-four million, two hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1968 2624 3936 5248 7872 10496 15744 31488 70957 141914 212871 283828 425742 567656 851484 1135312 1702968 2270624 2909237 3405936 4541248 5818474 6811872 8727711 9082496 11636948 13623744 17455422 18164992 23273896 27247488 34910844 46547792 54494976 69821688 93095584 139643376 186191168 279286752 372382336 558573504 744764672 1117147008 2234294016