Search a number
-
+
220999068792 = 233373101151919
BaseRepresentation
bin1100110111010010010…
…0100010110001111000
3210010102210201220111000
43031310210202301320
512110101230200132
6245305305005000
721652364042625
oct3156444426170
9703383656430
10220999068792
11857a8238407
12369b8183760
1317abc999178
14a9a6d5134c
155b36c8a87c
hex3374922c78

220999068792 has 256 divisors, whose sum is σ = 633307392000. Its totient is φ = 71383680000.

The previous prime is 220999068779. The next prime is 220999068799. The reversal of 220999068792 is 297860999022.

It is a super-2 number, since 2×2209990687922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220999068799) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240477309 + ... + 240478227.

It is an arithmetic number, because the mean of its divisors is an integer number (2473857000).

Almost surely, 2220999068792 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 220999068792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316653696000).

220999068792 is an abundant number, since it is smaller than the sum of its proper divisors (412308323208).

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

220999068792 is a wasteful number, since it uses less digits than its factorization.

220999068792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 220999068792 in words is "two hundred twenty billion, nine hundred ninety-nine million, sixty-eight thousand, seven hundred ninety-two".