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2243203230100 = 22527194712832797
BaseRepresentation
bin100000101001001001010…
…101001110100110010100
321221110002200122000120211
4200221021111032212110
5243223040011330400
64434302514135204
7321031444565110
oct40511125164624
97843080560524
102243203230100
1179537881a228
123028b8281504
131336c1465911
147a800728740
153d53e273dba
hex20a4954e994

2243203230100 has 288 divisors, whose sum is σ = 5987336785920. Its totient is φ = 712306275840.

The previous prime is 2243203229999. The next prime is 2243203230101. The reversal of 2243203230100 is 10323023422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243203230101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 802001902 + ... + 802004698.

It is an arithmetic number, because the mean of its divisors is an integer number (20789363840).

Almost surely, 22243203230100 is an apocalyptic number.

2243203230100 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 2243203230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993668392960).

2243203230100 is an abundant number, since it is smaller than the sum of its proper divisors (3744133555820).

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

2243203230100 is a wasteful number, since it uses less digits than its factorization.

2243203230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2243203230100 its reverse (10323023422), we get a palindrome (2253526253522).

The spelling of 2243203230100 in words is "two trillion, two hundred forty-three billion, two hundred three million, two hundred thirty thousand, one hundred".