Search a number
-
+
223823610000 = 243254192832
BaseRepresentation
bin1101000001110011101…
…1010100000010010000
3210101201122121110121100
43100130323110002100
512131342321010000
6250453444424400
722112362202634
oct3203473240220
9711648543540
10223823610000
1186a17657a91
12374660a8100
131814cc09823
14ab94122dc4
155c4ec21a00
hex341ced4090

223823610000 has 675 divisors, whose sum is σ = 836181819759. Its totient is φ = 55863648000.

The previous prime is 223823609959. The next prime is 223823610001. The reversal of 223823610000 is 16328322.

The square root of 223823610000 is 473100.

It is a perfect power (a square), and thus also a powerful number.

223823610000 is a `hidden beast` number, since 2 + 23 + 8 + 23 + 610 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17547771024 + 206275838976 = 132468^2 + 454176^2 .

It is not an unprimeable number, because it can be changed into a prime (223823610001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2696669959 + ... + 2696670041.

Almost surely, 2223823610000 is an apocalyptic number.

223823610000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

223823610000 is the 473100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223823610000

223823610000 is an abundant number, since it is smaller than the sum of its proper divisors (612358209759).

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

223823610000 is an equidigital number, since it uses as much as digits as its factorization.

223823610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 223823610000 its reverse (16328322), we get a palindrome (223839938322).

The spelling of 223823610000 in words is "two hundred twenty-three billion, eight hundred twenty-three million, six hundred ten thousand".