Search a number
-
+
20234443200 = 2635223183283
BaseRepresentation
bin10010110110000100…
…010001100111000000
31221020011200012212020
4102312010101213000
5312420004140300
613143502201440
71314266633526
oct226604214700
957204605766
1020234443200
1186438a7734
123b08583280
131ba613141a
14d9d4b2316
157d662a8a0
hex4b61119c0

20234443200 has 168 divisors, whose sum is σ = 69272554368. Its totient is φ = 5161221120.

The previous prime is 20234443199. The next prime is 20234443231. The reversal of 20234443200 is 234443202.

It is a super-2 number, since 2×202344432002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18759 + ... + 202041.

Almost surely, 220234443200 is an apocalyptic number.

20234443200 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 20234443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34636277184).

20234443200 is an abundant number, since it is smaller than the sum of its proper divisors (49038111168).

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

20234443200 is a wasteful number, since it uses less digits than its factorization.

20234443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183331 (or 183316 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20234443200 its reverse (234443202), we get a palindrome (20468886402).

The spelling of 20234443200 in words is "twenty billion, two hundred thirty-four million, four hundred forty-three thousand, two hundred".