Base | Representation |
---|---|
bin | 1000010111111110… |
… | …0110111100000000 |
3 | 12210200002111000120 |
4 | 2011333212330000 |
5 | 14100444404123 |
6 | 1011023220240 |
7 | 106465026660 |
oct | 20577467400 |
9 | 5720074016 |
10 | 2248044288 |
11 | a53a64a46 |
12 | 528a47680 |
13 | 29a983829 |
14 | 1747c61a0 |
15 | d255c2e3 |
hex | 85fe6f00 |
2248044288 has 144 divisors (see below), whose sum is σ = 7135489536. Its totient is φ = 614338560.
The previous prime is 2248044269. The next prime is 2248044307. The reversal of 2248044288 is 8824408422.
2248044288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2248044269) and next prime (2248044307).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114558 + ... + 132738.
Almost surely, 22248044288 is an apocalyptic number.
2248044288 is a gapful number since it is divisible by the number (28) 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 2248044288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567744768).
2248044288 is an abundant number, since it is smaller than the sum of its proper divisors (4887445248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2248044288 is a wasteful number, since it uses less digits than its factorization.
2248044288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18230 (or 18216 counting only the distinct ones).
The product of its (nonzero) digits is 262144, while the sum is 42.
The square root of 2248044288 is about 47413.5454063499. The cubic root of 2248044288 is about 1309.9909266508.
The spelling of 2248044288 in words is "two billion, two hundred forty-eight million, forty-four thousand, two hundred eighty-eight".
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