Search a number
-
+
226939466880 = 2733571939721
BaseRepresentation
bin1101001101011010100…
…1010111010010000000
3210200202210122101201000
43103112221113102000
512204233000420010
6252130552212000
722252525432530
oct3232651272200
9720683571630
10226939466880
118827645a415
1237b9569a000
13185285c7219
14adabc874c0
155d8354d7c0
hex34d6a57480

226939466880 has 512 divisors, whose sum is σ = 923418892800. Its totient is φ = 51597803520.

The previous prime is 226939466861. The next prime is 226939466881. The reversal of 226939466880 is 88664939622.

226939466880 is a `hidden beast` number, since 2 + 2 + 6 + 93 + 9 + 466 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (226939466881) 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 63 ways as a sum of consecutive naturals, for example, 23340420 + ... + 23350140.

It is an arithmetic number, because the mean of its divisors is an integer number (1803552525).

Almost surely, 2226939466880 is an apocalyptic number.

226939466880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226939466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461709446400).

226939466880 is an abundant number, since it is smaller than the sum of its proper divisors (696479425920).

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

226939466880 is a wasteful number, since it uses less digits than its factorization.

226939466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9949 (or 9931 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 226939466880 in words is "two hundred twenty-six billion, nine hundred thirty-nine million, four hundred sixty-six thousand, eight hundred eighty".