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2230139808234 = 232131723317091109
BaseRepresentation
bin100000011100111110101…
…100001110100111101010
321220012101021111102200100
4200130332230032213222
5243014311242330414
64424302335450230
7320056641412062
oct40347654164752
97805337442610
102230139808234
1178a884867008
12300271386976
131323bbbb95b0
1479d217b03a2
153d027495609
hex2073eb0e9ea

2230139808234 has 384 divisors, whose sum is σ = 5948503142400. Its totient is φ = 596443668480.

The previous prime is 2230139808233. The next prime is 2230139808283. The reversal of 2230139808234 is 4328089310322.

2230139808234 is a `hidden beast` number, since 2 + 2 + 301 + 39 + 80 + 8 + 234 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2230139808234.

It is not an unprimeable number, because it can be changed into a prime (2230139808233) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2010946072 + ... + 2010947180.

It is an arithmetic number, because the mean of its divisors is an integer number (15490893600).

Almost surely, 22230139808234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230139808234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974251571200).

2230139808234 is an abundant number, since it is smaller than the sum of its proper divisors (3718363334166).

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

2230139808234 is a wasteful number, since it uses less digits than its factorization.

2230139808234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2230139808234 in words is "two trillion, two hundred thirty billion, one hundred thirty-nine million, eight hundred eight thousand, two hundred thirty-four".