| Base | Representation |
|---|---|
| bin | 1000011011101100… |
| … | …0001111101011000 |
| 3 | 12211202101212220000 |
| 4 | 2012323001331120 |
| 5 | 14113441341324 |
| 6 | 1012341133000 |
| 7 | 110044315326 |
| oct | 20673017530 |
| 9 | 5752355800 |
| 10 | 2263621464 |
| 11 | a61834345 |
| 12 | 5320ba160 |
| 13 | 2a0c78ab0 |
| 14 | 1768bcd16 |
| 15 | d3ad79c9 |
| hex | 86ec1f58 |
2263621464 has 160 divisors (see below), whose sum is σ = 6855618000. Its totient is φ = 693681408.
The previous prime is 2263621463. The next prime is 2263621469. The reversal of 2263621464 is 4641263622.
2263621464 is a `hidden beast` number, since 2 + 2 + 636 + 2 + 14 + 6 + 4 = 666.
2263621464 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 is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2263621463) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3192342 + ... + 3193050.
Almost surely, 22263621464 is an apocalyptic number.
2263621464 is a gapful number since it is divisible by the number (24) 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 2263621464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427809000).
2263621464 is an abundant number, since it is smaller than the sum of its proper divisors (4591996536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2263621464 is a wasteful number, since it uses less digits than its factorization.
2263621464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1119 (or 1106 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The square root of 2263621464 is about 47577.5310834852. The cubic root of 2263621464 is about 1313.0096998321.
It can be divided in two parts, 22636 and 21464, that added together give a square (44100 = 2102).
The spelling of 2263621464 in words is "two billion, two hundred sixty-three million, six hundred twenty-one thousand, four hundred sixty-four".
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