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2203633640340 = 2232511311671791201
BaseRepresentation
bin100000000100010010110…
…011001110001110010100
321210122222000110120221100
4200010102303032032110
5242101020202442330
64404200232350100
7315131044613466
oct40042263161624
97718860416840
102203633640340
1177a612817830
122b70b4545330
1312ca56611592
147892939a136
153c4c545b060
hex20112cce394

2203633640340 has 576 divisors, whose sum is σ = 7620967710720. Its totient is φ = 510589440000.

The previous prime is 2203633640297. The next prime is 2203633640363. The reversal of 2203633640340 is 430463363022.

2203633640340 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 6 + 3 + 3 + 640 + 3 + 4 + 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 = 2203633640295 and 2203633640304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1834831740 + ... + 1834832940.

It is an arithmetic number, because the mean of its divisors is an integer number (13230846720).

Almost surely, 22203633640340 is an apocalyptic number.

2203633640340 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 2203633640340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810483855360).

2203633640340 is an abundant number, since it is smaller than the sum of its proper divisors (5417334070380).

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

2203633640340 is a wasteful number, since it uses less digits than its factorization.

2203633640340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The spelling of 2203633640340 in words is "two trillion, two hundred three billion, six hundred thirty-three million, six hundred forty thousand, three hundred forty".