Search a number
-
+
223444421200 = 245271113558053
BaseRepresentation
bin1101000000011001010…
…0110100101001010000
3210100202020002200100201
43100012110310221100
512130103232434300
6250352101224544
722100106146140
oct3200624645120
9710666080321
10223444421200
1186842606910
123737b102154
13180bc4a3960
14ab59a18920
155c2b7be66a
hex3406534a50

223444421200 has 240 divisors, whose sum is σ = 720773617536. Its totient is φ = 64287590400.

The previous prime is 223444421153. The next prime is 223444421203. The reversal of 223444421200 is 2124444322.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223444421203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121374 + ... + 679426.

Almost surely, 2223444421200 is an apocalyptic number.

223444421200 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 223444421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360386808768).

223444421200 is an abundant number, since it is smaller than the sum of its proper divisors (497329196336).

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

223444421200 is a wasteful number, since it uses less digits than its factorization.

223444421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558102 (or 558091 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 223444421200 its reverse (2124444322), we get a palindrome (225568865522).

The spelling of 223444421200 in words is "two hundred twenty-three billion, four hundred forty-four million, four hundred twenty-one thousand, two hundred".