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230552344440 = 23365111395171
BaseRepresentation
bin1101011010110111111…
…1011001011101111000
3211001002120220121000000
43112231333121131320
512234132400010230
6253525252513000
722441205410335
oct3265577313570
9731076817000
10230552344440
118985a873840
123882361b760
1318982c658b2
14b231a2998c
155ee5805b60
hex35adfd9778

230552344440 has 448 divisors, whose sum is σ = 854732995200. Its totient is φ = 55478649600.

The previous prime is 230552344427. The next prime is 230552344481. The reversal of 230552344440 is 44443255032.

230552344440 is a `hidden beast` number, since 2 + 30 + 552 + 34 + 4 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230552344395 and 230552344404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 44583055 + ... + 44588225.

It is an arithmetic number, because the mean of its divisors is an integer number (1907886150).

Almost surely, 2230552344440 is an apocalyptic number.

230552344440 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 230552344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427366497600).

230552344440 is an abundant number, since it is smaller than the sum of its proper divisors (624180650760).

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

230552344440 is a wasteful number, since it uses less digits than its factorization.

230552344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 230552344440 its reverse (44443255032), we get a palindrome (274995599472).

The spelling of 230552344440 in words is "two hundred thirty billion, five hundred fifty-two million, three hundred forty-four thousand, four hundred forty".