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2234580736 = 2822738453
BaseRepresentation
bin1000010100110000…
…1111111100000000
312202201202110111111
42011030033330000
514034023040421
61005422453104
7106242423433
oct20514177400
95681673444
102234580736
11a473a9643
12524434194
13297c4b62b
14172abd81a
15d129cee1
hex8530ff00

2234580736 has 36 divisors (see below), whose sum is σ = 4480198632. Its totient is φ = 1112339456.

The previous prime is 2234580713. The next prime is 2234580739. The reversal of 2234580736 is 6370854322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234580739) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 38886 + ... + 77338.

It is an arithmetic number, because the mean of its divisors is an integer number (124449962).

Almost surely, 22234580736 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 2234580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240099316).

2234580736 is an abundant number, since it is smaller than the sum of its proper divisors (2245617896).

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

2234580736 is an equidigital number, since it uses as much as digits as its factorization.

2234580736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38696 (or 38682 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 2234580736 is about 47271.3521702098. The cubic root of 2234580736 is about 1307.3705070108.

The spelling of 2234580736 in words is "two billion, two hundred thirty-four million, five hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 908 1816 3632 7264 14528 29056 38453 58112 76906 153812 307624 615248 1230496 2460992 4921984 8728831 9843968 17457662 34915324 69830648 139661296 279322592 558645184 1117290368 2234580736