| Base | Representation |
|---|---|
| bin | 1101000111010110011… |
| … | …0000110101010000000 |
| 3 | 210112120022211000011220 |
| 4 | 3101311212012222000 |
| 5 | 12142414133104100 |
| 6 | 251301225235040 |
| 7 | 22164264535215 |
| oct | 3216546065200 |
| 9 | 715508730156 |
| 10 | 225311222400 |
| 11 | 87610347220 |
| 12 | 37800332a80 |
| 13 | 18329182554 |
| 14 | ac9591db0c |
| 15 | 5cda620aa0 |
| hex | 3475986a80 |
225311222400 has 384 divisors, whose sum is σ = 810702397440. Its totient is φ = 54545510400.
The previous prime is 225311222387. The next prime is 225311222401. The reversal of 225311222400 is 4222113522.
225311222400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (225311222401) 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, 135483969 + ... + 135485631.
It is an arithmetic number, because the mean of its divisors is an integer number (2111204160).
Almost surely, 2225311222400 is an apocalyptic number.
225311222400 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 225311222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405351198720).
225311222400 is an abundant number, since it is smaller than the sum of its proper divisors (585391175040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225311222400 is a wasteful number, since it uses less digits than its factorization.
225311222400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2984 (or 2967 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 24.
Adding to 225311222400 its reverse (4222113522), we get a palindrome (229533335922).
It can be divided in two parts, 22531122 and 2400, that added together give a palindrome (22533522).
The spelling of 225311222400 in words is "two hundred twenty-five billion, three hundred eleven million, two hundred twenty-two thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.150 sec. • engine limits •