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4328020224 = 283211389439
BaseRepresentation
bin1000000011111100…
…00101100100000000
3102011121221012121100
410001332011210000
532330433121344
61553244254400
7212152364523
oct40176054400
912147835540
104328020224
111921066720
12a09541400
1353c880318
142d0b3cbba
151a4e6b569
hex101f85900

4328020224 has 216 divisors, whose sum is σ = 13679265600. Its totient is φ = 1305169920.

The previous prime is 4328020223. The next prime is 4328020237. The reversal of 4328020224 is 4220208234.

4328020224 is a `hidden beast` number, since 432 + 8 + 0 + 2 + 0 + 224 = 666.

It is not an unprimeable number, because it can be changed into a prime (4328020223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9858597 + ... + 9859035.

Almost surely, 24328020224 is an apocalyptic number.

4328020224 is a gapful number since it is divisible by the number (44) 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 4328020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839632800).

4328020224 is an abundant number, since it is smaller than the sum of its proper divisors (9351245376).

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

4328020224 is a wasteful number, since it uses less digits than its factorization.

4328020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4328020224 is about 65787.6905203397. The cubic root of 4328020224 is about 1629.6578282348.

Adding to 4328020224 its reverse (4220208234), we get a palindrome (8548228458).

It can be divided in two parts, 43280 and 20224, that added together give a square (63504 = 2522).

The spelling of 4328020224 in words is "four billion, three hundred twenty-eight million, twenty thousand, two hundred twenty-four".