Search a number
-
+
216233390592 = 29361930491
BaseRepresentation
bin1100100101100010000…
…0111011001000000000
3202200010200021101000000
43021120200323020000
512020321221444332
6243200344000000
721423315331242
oct3113040731000
9680120241000
10216233390592
118378212588a
1235aa8160000
1317510550a3b
14a674048092
1559586bcb7c
hex325883b200

216233390592 has 280 divisors, whose sum is σ = 681885887760. Its totient is φ = 68281989120.

The previous prime is 216233390561. The next prime is 216233390609. The reversal of 216233390592 is 295093332612.

It is a happy number.

216233390592 is a `hidden beast` number, since 2 + 1 + 6 + 23 + 3 + 39 + 0 + 592 = 666.

It is a super-2 number, since 2×2162333905922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7076467 + ... + 7106957.

It is an arithmetic number, because the mean of its divisors is an integer number (2435306742).

Almost surely, 2216233390592 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 216233390592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340942943880).

216233390592 is an abundant number, since it is smaller than the sum of its proper divisors (465652497168).

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

216233390592 is an frugal number, since it uses more digits than its factorization.

216233390592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30546 (or 30515 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 216233390592 in words is "two hundred sixteen billion, two hundred thirty-three million, three hundred ninety thousand, five hundred ninety-two".