Search a number
-
+
223430244440120 = 235197914925219907
BaseRepresentation
bin110010110011010101101000…
…010110100001100000111000
31002022002201111220011221211222
4302303111220112201200320
5213241140120034040440
62111110234242411212
765030205513111014
oct6263255026414070
91068081456157758
10223430244440120
1165212264198a13
1221086340960b08
1397894c661ca53
143d2611da15544
151ac6e003732b5
hexcb35685a1838

223430244440120 has 256 divisors, whose sum is σ = 539740281600000. Its totient is φ = 82994186096640.

The previous prime is 223430244440107. The next prime is 223430244440141. The reversal of 223430244440120 is 21044442034322.

It is a super-3 number, since 3×2234302444401203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22552760207 + ... + 22552770113.

It is an arithmetic number, because the mean of its divisors is an integer number (2108360475000).

Almost surely, 2223430244440120 is an apocalyptic number.

223430244440120 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 223430244440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269870140800000).

223430244440120 is an abundant number, since it is smaller than the sum of its proper divisors (316310037159880).

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

223430244440120 is a wasteful number, since it uses less digits than its factorization.

223430244440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12686 (or 12682 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 223430244440120 its reverse (21044442034322), we get a palindrome (244474686474442).

The spelling of 223430244440120 in words is "two hundred twenty-three trillion, four hundred thirty billion, two hundred forty-four million, four hundred forty thousand, one hundred twenty".