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6002210116 = 227230623521
BaseRepresentation
bin1011001011100001…
…00111010101000100
3120111022012212101101
411211300213111010
544243031210431
62431332105444
7301511641600
oct54560472504
916438185341
106002210116
112600100331
1211b6165284
13748690a26
1440d226500
15251e22961
hex165c27544

6002210116 has 18 divisors (see below), whose sum is σ = 12218785278. Its totient is φ = 2572375680.

The previous prime is 6002210113. The next prime is 6002210117. The reversal of 6002210116 is 6110122006.

It can be written as a sum of positive squares in only one way, i.e., 5107960900 + 894249216 = 71470^2 + 29904^2 .

It is a super-2 number, since 2×60022101162 = 72053052553225466912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6002210093 and 6002210102.

It is not an unprimeable number, because it can be changed into a prime (6002210113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15311565 + ... + 15311956.

Almost surely, 26002210116 is an apocalyptic number.

It is an amenable number.

6002210116 is an abundant number, since it is smaller than the sum of its proper divisors (6216575162).

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

6002210116 is a wasteful number, since it uses less digits than its factorization.

6002210116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30623539 (or 30623530 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 6002210116 is about 77473.9318480739. The cubic root of 6002210116 is about 1817.3436791816.

The spelling of 6002210116 in words is "six billion, two million, two hundred ten thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 30623521 61247042 122494084 214364647 428729294 857458588 1500552529 3001105058 6002210116