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2230464764112 = 243134322238669
BaseRepresentation
bin100000011101010010000…
…011110101100011010000
321220020012220221220100020
4200131102003311203100
5243020442434422422
64424354504423440
7320100665451234
oct40352203654320
97806186856306
102230464764112
1178aa31236192
12300342177b80
13132441314490
1479d529dc5c4
153d045c8395c
hex207520f58d0

2230464764112 has 240 divisors, whose sum is σ = 6382156515840. Its totient is φ = 667253486592.

The previous prime is 2230464764107. The next prime is 2230464764173. The reversal of 2230464764112 is 2114674640322.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 257287714 + ... + 257296382.

It is an arithmetic number, because the mean of its divisors is an integer number (26592318816).

Almost surely, 22230464764112 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 2230464764112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191078257920).

2230464764112 is an abundant number, since it is smaller than the sum of its proper divisors (4151691751728).

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

2230464764112 is a wasteful number, since it uses less digits than its factorization.

2230464764112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9002 (or 8953 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 2230464764112 in words is "two trillion, two hundred thirty billion, four hundred sixty-four million, seven hundred sixty-four thousand, one hundred twelve".