| Base | Representation |
|---|---|
| bin | 1000011011101111… |
| … | …1011010100010000 |
| 3 | 12211202211211011100 |
| 4 | 2012323323110100 |
| 5 | 14114021401100 |
| 6 | 1012350144400 |
| 7 | 110046314301 |
| oct | 20673732420 |
| 9 | 5752754140 |
| 10 | 2263856400 |
| 11 | a61984903 |
| 12 | 5321b2100 |
| 13 | 2a102ba00 |
| 14 | 1769407a8 |
| 15 | d3b32400 |
| hex | 86efb510 |
2263856400 has 405 divisors, whose sum is σ = 8648766477. Its totient is φ = 548121600.
The previous prime is 2263856393. The next prime is 2263856411. The reversal of 2263856400 is 46583622.
The square root of 2263856400 is 47580.
It is a perfect power (a square), and thus also a powerful number.
2263856400 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 8 + 5 + 640 + 0 = 666.
2263856400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 13 ways, for example, as 1995944976 + 267911424 = 44676^2 + 16368^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37112370 + ... + 37112430.
Almost surely, 22263856400 is an apocalyptic number.
2263856400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
2263856400 is the 47580-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2263856400
2263856400 is an abundant number, since it is smaller than the sum of its proper divisors (6384910077).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2263856400 is a wasteful number, since it uses less digits than its factorization.
2263856400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 172 (or 84 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The cubic root of 2263856400 is about 1313.0551230003.
Multiplying 2263856400 by its sum of digits (36), we get a square (81498830400 = 2854802).
2263856400 divided by its sum of digits (36) gives a square (62884900 = 79302).
The spelling of 2263856400 in words is "two billion, two hundred sixty-three million, eight hundred fifty-six thousand, four hundred".
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