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2223141441400 = 235211101167181331
BaseRepresentation
bin100000010110011101100…
…011100100111101111000
321212112022112211120011201
4200112131203210331320
5242410443202111100
64421144100303544
7316421342314165
oct40263543447570
97775275746151
102223141441400
11787913428470
122baa396a1bb4
13131845035b29
147985a15b06c
153cc67da036a
hex2059d8e4f78

2223141441400 has 384 divisors, whose sum is σ = 5777675205120. Its totient is φ = 788832000000.

The previous prime is 2223141441359. The next prime is 2223141441401. The reversal of 2223141441400 is 41441413222.

2223141441400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223141441401) 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, 6716439235 + ... + 6716439565.

It is an arithmetic number, because the mean of its divisors is an integer number (15046029180).

Almost surely, 22223141441400 is an apocalyptic number.

2223141441400 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 2223141441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888837602560).

2223141441400 is an abundant number, since it is smaller than the sum of its proper divisors (3554533763720).

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

2223141441400 is a wasteful number, since it uses less digits than its factorization.

2223141441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2223141441400 its reverse (41441413222), we get a palindrome (2264582854622).

The spelling of 2223141441400 in words is "two trillion, two hundred twenty-three billion, one hundred forty-one million, four hundred forty-one thousand, four hundred".