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230662200340 = 2251113314096361
BaseRepresentation
bin1101011011010010001…
…0011101110000010100
3211001101020121211222001
43112310202131300110
512234344010402330
6253544215245044
722444011232045
oct3266442356024
9731336554861
10230662200340
1189906887140
1238854379784
131899c94a4a0
14b2424648cc
1560002a59ca
hex35b489dc14

230662200340 has 192 divisors, whose sum is σ = 588960368640. Its totient is φ = 74732544000.

The previous prime is 230662200323. The next prime is 230662200341. The reversal of 230662200340 is 43002266032.

It is a super-2 number, since 2×2306622003402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230662200299 and 230662200308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230662200341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36258760 + ... + 36265120.

It is an arithmetic number, because the mean of its divisors is an integer number (3067501920).

Almost surely, 2230662200340 is an apocalyptic number.

230662200340 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 230662200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294480184320).

230662200340 is an abundant number, since it is smaller than the sum of its proper divisors (358298168300).

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

230662200340 is a wasteful number, since it uses less digits than its factorization.

230662200340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 230662200340 its reverse (43002266032), we get a palindrome (273664466372).

The spelling of 230662200340 in words is "two hundred thirty billion, six hundred sixty-two million, two hundred thousand, three hundred forty".