Search a number
-
+
226335897216 = 27341113211743
BaseRepresentation
bin1101001011001010101…
…0111011011010000000
3210122012201220212210000
43102302222323122000
512202013442202331
6251551031440000
722231546245312
oct3226252733200
9718181825700
10226335897216
1187a96793610
1237a47526000
131846054b900
14ad51a517b2
155d4a5780e6
hex34b2abb680

226335897216 has 480 divisors, whose sum is σ = 795745019520. Its totient is φ = 63305349120.

The previous prime is 226335897181. The next prime is 226335897233. The reversal of 226335897216 is 612798533622.

226335897216 is a `hidden beast` number, since 2 + 2 + 6 + 33 + 589 + 7 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19268241 + ... + 19279983.

It is an arithmetic number, because the mean of its divisors is an integer number (1657802124).

Almost surely, 2226335897216 is an apocalyptic number.

226335897216 is a gapful number since it is divisible by the number (26) 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 226335897216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397872509760).

226335897216 is an abundant number, since it is smaller than the sum of its proper divisors (569409122304).

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

226335897216 is a wasteful number, since it uses less digits than its factorization.

226335897216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11806 (or 11772 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 226335897216 in words is "two hundred twenty-six billion, three hundred thirty-five million, eight hundred ninety-seven thousand, two hundred sixteen".