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2332894824 = 233313431392
BaseRepresentation
bin1000101100001101…
…0010011001101000
320000120202100002000
42023003102121220
514234210113244
61023254011000
7111545164431
oct21303223150
96016670060
102332894824
11a97949457
12551346a60
132b2421950
14181b92488
15d9c1d169
hex8b0d2668

2332894824 has 192 divisors, whose sum is σ = 7192785600. Its totient is φ = 696076416.

The previous prime is 2332894787. The next prime is 2332894847. The reversal of 2332894824 is 4284982332.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2332894824.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16783347 + ... + 16783485.

It is an arithmetic number, because the mean of its divisors is an integer number (37462425).

Almost surely, 22332894824 is an apocalyptic number.

2332894824 is a gapful number since it is divisible by the number (24) 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 2332894824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596392800).

2332894824 is an abundant number, since it is smaller than the sum of its proper divisors (4859890776).

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

2332894824 is a wasteful number, since it uses less digits than its factorization.

2332894824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 200 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2332894824 is about 48300.0499378624. The cubic root of 2332894824 is about 1326.2693091540.

The spelling of 2332894824 in words is "two billion, three hundred thirty-two million, eight hundred ninety-four thousand, eight hundred twenty-four".