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6232000880 = 2457232109193
BaseRepresentation
bin1011100110111010…
…01100100101110000
3121002022121110001102
411303131030211300
5100230343012010
62510221223532
7310302063530
oct56335144560
917068543042
106232000880
112708890556
12125b101ba8
137841789b1
144319614c0
152671b3ba5
hex17374c970

6232000880 has 240 divisors, whose sum is σ = 17559917760. Its totient is φ = 2014543872.

The previous prime is 6232000877. The next prime is 6232000883. The reversal of 6232000880 is 880002326.

It is an interprime number because it is at equal distance from previous prime (6232000877) and next prime (6232000883).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6232000883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32290064 + ... + 32290256.

It is an arithmetic number, because the mean of its divisors is an integer number (73166324).

Almost surely, 26232000880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6232000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779958880).

6232000880 is an abundant number, since it is smaller than the sum of its proper divisors (11327916880).

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

6232000880 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (6232000879) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (368).

6232000880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 6232000880 is about 78943.0229976025. The cubic root of 6232000880 is about 1840.2458004961.

The spelling of 6232000880 in words is "six billion, two hundred thirty-two million, eight hundred eighty", and thus it is an aban number.