Search a number
-
+
229065338880 = 2123357233183
BaseRepresentation
bin1101010101010101011…
…0111011000000000000
3210220020221211212212000
43111111112323000000
512223111211321010
6253121533104000
722356311153220
oct3252526730000
9726227755760
10229065338880
1189167459524
1238489628000
13187a6b73151
14b13034a080
155e59ec67c0
hex35555bb000

229065338880 has 1664 divisors, whose sum is σ = 1014562160640. Its totient is φ = 47881912320.

The previous prime is 229065338851. The next prime is 229065338891. The reversal of 229065338880 is 88833560922.

229065338880 is a `hidden beast` number, since 2 + 29 + 0 + 6 + 533 + 8 + 8 + 80 = 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 127 ways as a sum of consecutive naturals, for example, 2759823319 + ... + 2759823401.

Almost surely, 2229065338880 is an apocalyptic number.

229065338880 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 229065338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507281080320).

229065338880 is an abundant number, since it is smaller than the sum of its proper divisors (785496821760).

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

229065338880 is a wasteful number, since it uses less digits than its factorization.

229065338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 229065338880 in words is "two hundred twenty-nine billion, sixty-five million, three hundred thirty-eight thousand, eight hundred eighty".