| Base | Representation |
|---|---|
| bin | 1000010110100110… |
| … | …0101011011100000 |
| 3 | 12210021020011111000 |
| 4 | 2011221211123200 |
| 5 | 14043010132234 |
| 6 | 1010255352000 |
| 7 | 106364663034 |
| oct | 20551453340 |
| 9 | 5707204430 |
| 10 | 2242270944 |
| 11 | a50781391 |
| 12 | 526b22600 |
| 13 | 299711a54 |
| 14 | 173b221c4 |
| 15 | d1cbb899 |
| hex | 85a656e0 |
2242270944 has 96 divisors (see below), whose sum is σ = 6548078880. Its totient is φ = 746496000.
The previous prime is 2242270909. The next prime is 2242270949. The reversal of 2242270944 is 4490722422.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-4 number, since 4×22422709444 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2242270899 and 2242270908.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2242270949) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382454 + ... + 1384074.
It is an arithmetic number, because the mean of its divisors is an integer number (68209155).
Almost surely, 22242270944 is an apocalyptic number.
2242270944 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 2242270944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274039440).
2242270944 is an abundant number, since it is smaller than the sum of its proper divisors (4305807936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2242270944 is a wasteful number, since it uses less digits than its factorization.
2242270944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3241 (or 3227 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The square root of 2242270944 is about 47352.6234120138. The cubic root of 2242270944 is about 1308.8685419017.
The spelling of 2242270944 in words is "two billion, two hundred forty-two million, two hundred seventy thousand, nine hundred forty-four".
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