| Base | Representation |
|---|---|
| bin | 1000010011100110… |
| … | …1111010010010000 |
| 3 | 12202101121221100100 |
| 4 | 2010321233102100 |
| 5 | 14031302302100 |
| 6 | 1005130452400 |
| 7 | 106153243614 |
| oct | 20471572220 |
| 9 | 5671557310 |
| 10 | 2229728400 |
| 11 | a44694a49 |
| 12 | 522894100 |
| 13 | 296c3cb23 |
| 14 | 1721b9344 |
| 15 | d0b40400 |
| hex | 84e6f490 |
2229728400 has 135 divisors (see below), whose sum is σ = 7747621401. Its totient is φ = 593838720.
The previous prime is 2229728377. The next prime is 2229728401. The reversal of 2229728400 is 48279222.
It is a happy number.
The square root of 2229728400 is 47220.
It is a perfect power (a square), and thus also a powerful number.
2229728400 is a `hidden beast` number, since 2 + 229 + 7 + 28 + 400 = 666.
It can be written as a sum of positive squares in only one way, i.e., 802702224 + 1427026176 = 28332^2 + 37776^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2229728401) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2832807 + ... + 2833593.
Almost surely, 22229728400 is an apocalyptic number.
2229728400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
2229728400 is the 47220-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2229728400
2229728400 is an abundant number, since it is smaller than the sum of its proper divisors (5517893001).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2229728400 is an equidigital number, since it uses as much as digits as its factorization.
2229728400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1598 (or 797 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The cubic root of 2229728400 is about 1306.4235138048.
Multiplying 2229728400 by its sum of digits (36), we get a square (80270222400 = 2833202).
2229728400 divided by its sum of digits (36) gives a square (61936900 = 78702).
The spelling of 2229728400 in words is "two billion, two hundred twenty-nine million, seven hundred twenty-eight thousand, four hundred".
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