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2232834240 = 263571361419
BaseRepresentation
bin1000010100010110…
…0101100011000000
312202121110201202110
42011011211203000
514033101143430
61005321215320
7106221530550
oct20505454300
95677421673
102232834240
11a4641645a
12523931540
132977896c0
14172787160
15d10557b0
hex851658c0

2232834240 has 448 divisors, whose sum is σ = 8889431040. Its totient is φ = 462274560.

The previous prime is 2232834223. The next prime is 2232834251. The reversal of 2232834240 is 424382322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×22328342403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2232834198 and 2232834207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5328751 + ... + 5329169.

It is an arithmetic number, because the mean of its divisors is an integer number (19842480).

Almost surely, 22232834240 is an apocalyptic number.

2232834240 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 2232834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444715520).

2232834240 is an abundant number, since it is smaller than the sum of its proper divisors (6656596800).

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

2232834240 is a wasteful number, since it uses less digits than its factorization.

2232834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2232834240 is about 47252.8754680601. The cubic root of 2232834240 is about 1307.0298148405.

The spelling of 2232834240 in words is "two billion, two hundred thirty-two million, eight hundred thirty-four thousand, two hundred forty".