| Base | Representation |
|---|---|
| bin | 1010001100000000111010… |
| … | …10100110001011001010000 |
| 3 | 2221022201011110210212121220 |
| 4 | 11012000131110301121100 |
| 5 | 10414022412044303100 |
| 6 | 115351452023045040 |
| 7 | 4501365151633353 |
| oct | 506003524613120 |
| 9 | 87281143725556 |
| 10 | 22403041400400 |
| 11 | 7158092908371 |
| 12 | 2619a392a0780 |
| 13 | c667a0304a3b |
| 14 | 576454bb229a |
| 15 | 28cb4b77caa0 |
| hex | 14601d531650 |
22403041400400 has 240 divisors, whose sum is σ = 73480715742720. Its totient is φ = 5831446924800.
The previous prime is 22403041400329. The next prime is 22403041400401. The reversal of 22403041400400 is 400414030422.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22403041400401) 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 47 ways as a sum of consecutive naturals, for example, 80305155 + ... + 80583645.
It is an arithmetic number, because the mean of its divisors is an integer number (306169648928).
Almost surely, 222403041400400 is an apocalyptic number.
22403041400400 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 22403041400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36740357871360).
22403041400400 is an abundant number, since it is smaller than the sum of its proper divisors (51077674342320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22403041400400 is a wasteful number, since it uses less digits than its factorization.
22403041400400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 280114 (or 280103 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
Adding to 22403041400400 its reverse (400414030422), we get a palindrome (22803455430822).
The spelling of 22403041400400 in words is "twenty-two trillion, four hundred three billion, forty-one million, four hundred thousand, four hundred".
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