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6230814720 = 212351329269
BaseRepresentation
bin1011100110110001…
…01011000000000000
3121002020101011221120
411303120223000000
5100230042032340
62510135552240
7310256023404
oct56330530000
917066334846
106230814720
112708150359
12125a82b680
13783b51b20
14431733104
1526702c4d0
hex17362b000

6230814720 has 416 divisors, whose sum is σ = 22292625600. Its totient is φ = 1475346432.

The previous prime is 6230814719. The next prime is 6230814787. The reversal of 6230814720 is 274180326.

It is a tau number, because it is divible by the number of its divisors (416).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23162746 + ... + 23163014.

Almost surely, 26230814720 is an apocalyptic number.

6230814720 is a gapful number since it is divisible by the number (60) 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 6230814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11146312800).

6230814720 is an abundant number, since it is smaller than the sum of its proper divisors (16061810880).

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

6230814720 is a wasteful number, since it uses less digits than its factorization.

6230814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6230814720 is about 78935.5098799013. The cubic root of 6230814720 is about 1840.1290394695.

It can be divided in two parts, 62308 and 14720, that added together give a triangular number (77028 = T392).

The spelling of 6230814720 in words is "six billion, two hundred thirty million, eight hundred fourteen thousand, seven hundred twenty".