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2234332320 = 2535113711437
BaseRepresentation
bin1000010100101101…
…0011010010100000
312202201021211201220
42011023103102200
514033442113240
61005413255040
7106240340253
oct20513232240
95681254656
102234332320
11a47249a40
12524334480
13297b9253c
14172a5709a
15d124e5d0
hex852d34a0

2234332320 has 192 divisors, whose sum is σ = 7886180736. Its totient is φ = 526970880.

The previous prime is 2234332319. The next prime is 2234332327. The reversal of 2234332320 is 232334322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2234332327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189642 + ... + 201078.

It is an arithmetic number, because the mean of its divisors is an integer number (41073858).

Almost surely, 22234332320 is an apocalyptic number.

2234332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943090368).

2234332320 is an abundant number, since it is smaller than the sum of its proper divisors (5651848416).

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

2234332320 is a wasteful number, since it uses less digits than its factorization.

2234332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11503 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 2234332320 is about 47268.7245438250. The cubic root of 2234332320 is about 1307.3220588788.

Adding to 2234332320 its reverse (232334322), we get a palindrome (2466666642).

The spelling of 2234332320 in words is "two billion, two hundred thirty-four million, three hundred thirty-two thousand, three hundred twenty".