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2234032320 = 2635132343181
BaseRepresentation
bin1000010100101000…
…1010000011000000
312202200201121012210
42011022022003000
514033403013240
61005403022120
7106234650522
oct20512120300
95680647183
102234032320
11a47064603
1252420a940
13297ab8b20
141729b9a12
15d11e0780
hex8528a0c0

2234032320 has 448 divisors, whose sum is σ = 8201217024. Its totient is φ = 510935040.

The previous prime is 2234032291. The next prime is 2234032337. The reversal of 2234032320 is 232304322.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12342630 + ... + 12342810.

It is an arithmetic number, because the mean of its divisors is an integer number (18306288).

Almost surely, 22234032320 is an apocalyptic number.

2234032320 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 2234032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100608512).

2234032320 is an abundant number, since it is smaller than the sum of its proper divisors (5967184704).

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

2234032320 is a wasteful number, since it uses less digits than its factorization.

2234032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2234032320 is about 47265.5510916778. The cubic root of 2234032320 is about 1307.2635456235.

Adding to 2234032320 its reverse (232304322), we get a palindrome (2466336642).

The spelling of 2234032320 in words is "two billion, two hundred thirty-four million, thirty-two thousand, three hundred twenty".