Search a number
-
+
23322000300000 = 25355194395153
BaseRepresentation
bin1010100110110000100111…
…00010110001011111100000
310001120120011022002211211220
411103120103202301133200
511024101424034100000
6121333551245335040
74624646623456563
oct523302342613740
9101516138084756
1023322000300000
117481894191026
122747b62867480
13100234186ac1c
145a8b100b44da
152a69d34261a0
hex1536138b17e0

23322000300000 has 576 divisors, whose sum is σ = 82421877162240. Its totient is φ = 5754792960000.

The previous prime is 23322000299987. The next prime is 23322000300007. The reversal of 23322000300000 is 300022332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322000300007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245052424 + ... + 245147576.

It is an arithmetic number, because the mean of its divisors is an integer number (143093536740).

Almost surely, 223322000300000 is an apocalyptic number.

23322000300000 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 23322000300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41210938581120).

23322000300000 is an abundant number, since it is smaller than the sum of its proper divisors (59099876862240).

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

23322000300000 is an equidigital number, since it uses as much as digits as its factorization.

23322000300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95253 (or 95225 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 23322000300000 its reverse (300022332), we get a palindrome (23322300322332).

The spelling of 23322000300000 in words is "twenty-three trillion, three hundred twenty-two billion, three hundred thousand".