| Base | Representation |
|---|---|
| bin | 100000110011000010001… |
| … | …011110000000000000000 |
| 3 | 21222110111122022120000000 |
| 4 | 200303002023300000000 |
| 5 | 243411311101120300 |
| 6 | 4443220240000000 |
| 7 | 321555531024354 |
| oct | 40630213600000 |
| 9 | 7873448276000 |
| 10 | 2253820723200 |
| 11 | 79992704aa12 |
| 12 | 304980000000 |
| 13 | 1346c4065007 |
| 14 | 7b12a8a9464 |
| 15 | 3d961457c00 |
| hex | 20cc22f0000 |
2253820723200 has 1632 divisors, whose sum is σ = 9115872707520. Its totient is φ = 550376570880.
The previous prime is 2253820723199. The next prime is 2253820723201. The reversal of 2253820723200 is 23270283522.
It is a happy number.
2253820723200 is a `hidden beast` number, since 2 + 2 + 5 + 382 + 0 + 72 + 3 + 200 = 666.
It is an interprime number because it is at equal distance from previous prime (2253820723199) and next prime (2253820723201).
It is a tau number, because it is divible by the number of its divisors (1632).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2253820723201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60914073582 + ... + 60914073618.
Almost surely, 22253820723200 is an apocalyptic number.
2253820723200 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 2253820723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557936353760).
2253820723200 is an abundant number, since it is smaller than the sum of its proper divisors (6862051984320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2253820723200 is an frugal number, since it uses more digits than its factorization.
2253820723200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 36.
The spelling of 2253820723200 in words is "two trillion, two hundred fifty-three billion, eight hundred twenty million, seven hundred twenty-three thousand, two hundred".
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