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2224634132340 = 22325375910395449
BaseRepresentation
bin100000010111110110100…
…001101111011101110100
321212200011120121010012100
4200113312201233131310
5242422022314213330
64421552142022100
7316503336060624
oct40276641573564
97780146533170
102224634132340
11788509a76244
122bb195577930
13131a223692c9
147995c4ba884
153cd03e54060
hex205f686f774

2224634132340 has 288 divisors, whose sum is σ = 7055979840000. Its totient is φ = 566769125376.

The previous prime is 2224634132333. The next prime is 2224634132363. The reversal of 2224634132340 is 432314364222.

2224634132340 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 6 + 3 + 413 + 234 + 0 = 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 = 2224634132295 and 2224634132304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408261936 + ... + 408267384.

It is an arithmetic number, because the mean of its divisors is an integer number (24499930000).

Almost surely, 22224634132340 is an apocalyptic number.

2224634132340 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 2224634132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527989920000).

2224634132340 is an abundant number, since it is smaller than the sum of its proper divisors (4831345707660).

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

2224634132340 is a wasteful number, since it uses less digits than its factorization.

2224634132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 2224634132340 its reverse (432314364222), we get a palindrome (2656948496562).

The spelling of 2224634132340 in words is "two trillion, two hundred twenty-four billion, six hundred thirty-four million, one hundred thirty-two thousand, three hundred forty".