Search a number
-
+
223113139200 = 2103452719809
BaseRepresentation
bin1100111111001010010…
…1000101010000000000
3210022220010201210220000
43033302211011100000
512123413430423300
6250255144520000
722055644251330
oct3176245052000
9708803653800
10223113139200
1186692606836
12372a8180000
13180689724c3
14ab27a210c0
155c0c681c00
hex33f2945400

223113139200 has 1320 divisors, whose sum is σ = 995107291200. Its totient is φ = 48253501440.

The previous prime is 223113139177. The next prime is 223113139201. The reversal of 223113139200 is 2931311322.

It is a super-3 number, since 3×2231131392003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223113139201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 275788396 + ... + 275789204.

It is an arithmetic number, because the mean of its divisors is an integer number (753869160).

Almost surely, 2223113139200 is an apocalyptic number.

223113139200 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 223113139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497553645600).

223113139200 is an abundant number, since it is smaller than the sum of its proper divisors (771994152000).

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

223113139200 is a wasteful number, since it uses less digits than its factorization.

223113139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 223113139200 in words is "two hundred twenty-three billion, one hundred thirteen million, one hundred thirty-nine thousand, two hundred".