| Base | Representation |
|---|---|
| bin | 1101001000100010100… |
| … | …1000000000010000000 |
| 3 | 210120101121001122000000 |
| 4 | 3102020221000002000 |
| 5 | 12144042432430200 |
| 6 | 251353042000000 |
| 7 | 22205224502112 |
| oct | 3221051000200 |
| 9 | 716347048000 |
| 10 | 225630748800 |
| 11 | 87764748126 |
| 12 | 3788b346000 |
| 13 | 1837a429022 |
| 14 | acc61373b2 |
| 15 | 5d086da300 |
| hex | 3488a40080 |
225630748800 has 504 divisors, whose sum is σ = 838381130445. Its totient is φ = 59974732800.
The previous prime is 225630748799. The next prime is 225630748801. The reversal of 225630748800 is 8847036522.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
225630748800 is a `hidden beast` number, since 2 + 2 + 5 + 630 + 7 + 4 + 8 + 8 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (225630748799) and next prime (225630748801).
It can be written as a sum of positive squares in 2 ways, for example, as 221118133824 + 4512614976 = 470232^2 + 67176^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=335880.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (225630748801) by changing a digit.
It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 725500645 + ... + 725500955.
Almost surely, 2225630748800 is an apocalyptic number.
225630748800 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 225630748800
225630748800 is an abundant number, since it is smaller than the sum of its proper divisors (612750381645).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225630748800 is an frugal number, since it uses more digits than its factorization.
225630748800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 664 (or 321 counting only the distinct ones).
The product of its (nonzero) digits is 645120, while the sum is 45.
The spelling of 225630748800 in words is "two hundred twenty-five billion, six hundred thirty million, seven hundred forty-eight thousand, eight hundred".
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