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6200002116 = 223671153521
BaseRepresentation
bin1011100011000110…
…01000011001000100
3121000002101202000000
411301203020121010
5100144200031431
62503115321300
7306433101630
oct56143103104
917002352000
106200002116
1126a18153a0
121250450230
1377a654009
1442b5d1dc0
152644929e6
hex1718c8644

6200002116 has 336 divisors, whose sum is σ = 20703973248. Its totient is φ = 1576972800.

The previous prime is 6200002099. The next prime is 6200002117. The reversal of 6200002116 is 6112000026.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6200002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11899936 + ... + 11900456.

It is an arithmetic number, because the mean of its divisors is an integer number (61618968).

Almost surely, 26200002116 is an apocalyptic number.

6200002116 is a gapful number since it is divisible by the number (66) 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 6200002116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10351986624).

6200002116 is an abundant number, since it is smaller than the sum of its proper divisors (14503971132).

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

6200002116 is a wasteful number, since it uses less digits than its factorization.

6200002116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6200002116 is about 78740.0921767304. The cubic root of 6200002116 is about 1837.0907590079.

The spelling of 6200002116 in words is "six billion, two hundred million, two thousand, one hundred sixteen".