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234422244320 = 25511210121187
BaseRepresentation
bin1101101001010010100…
…1111001001111100000
3211102002021210212122012
43122110221321033200
512320044043304240
6255405254132052
722636126125305
oct3322451711740
9742067725565
10234422244320
1190466277900
1239523651028
131914b935094
14b4bb9950ac
15617042cb65
hex3694a793e0

234422244320 has 216 divisors, whose sum is σ = 615351950136. Its totient is φ = 84329344000.

The previous prime is 234422244319. The next prime is 234422244347. The reversal of 234422244320 is 23442224432.

234422244320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 197490767 + ... + 197491953.

It is an arithmetic number, because the mean of its divisors is an integer number (2848851621).

Almost surely, 2234422244320 is an apocalyptic number.

234422244320 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 234422244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307675975068).

234422244320 is an abundant number, since it is smaller than the sum of its proper divisors (380929705816).

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

234422244320 is a wasteful number, since it uses less digits than its factorization.

234422244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 234422244320 its reverse (23442224432), we get a palindrome (257864468752).

The spelling of 234422244320 in words is "two hundred thirty-four billion, four hundred twenty-two million, two hundred forty-four thousand, three hundred twenty".