| Base | Representation |
|---|---|
| bin | 1000010111010011… |
| … | …0011111100110000 |
| 3 | 12210110202200121002 |
| 4 | 2011310303330300 |
| 5 | 14044233322000 |
| 6 | 1010442421132 |
| 7 | 106432001261 |
| oct | 20564637460 |
| 9 | 5713680532 |
| 10 | 2245214000 |
| 11 | a52401567 |
| 12 | 527b017a8 |
| 13 | 29a2024c3 |
| 14 | 17428a968 |
| 15 | d219d8d5 |
| hex | 85d33f30 |
2245214000 has 80 divisors (see below), whose sum is σ = 5665083840. Its totient is φ = 859020800.
The previous prime is 2245213981. The next prime is 2245214003. The reversal of 2245214000 is 4125422.
It is a happy number.
2245214000 is digitally balanced in base 2, 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 (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (2245214003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21596 + ... + 70404.
It is an arithmetic number, because the mean of its divisors is an integer number (70813548).
Almost surely, 22245214000 is an apocalyptic number.
2245214000 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 2245214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832541920).
2245214000 is an abundant number, since it is smaller than the sum of its proper divisors (3419869840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2245214000 is a wasteful number, since it uses less digits than its factorization.
2245214000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 48855 (or 48839 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 20.
The square root of 2245214000 is about 47383.6891767621. The cubic root of 2245214000 is about 1309.4409362011.
Adding to 2245214000 its reverse (4125422), we get a palindrome (2249339422).
The spelling of 2245214000 in words is "two billion, two hundred forty-five million, two hundred fourteen thousand".
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