| Base | Representation |
|---|---|
| bin | 1000010010100000… |
| … | …1110001001110000 |
| 3 | 12202001222122002100 |
| 4 | 2010220032021300 |
| 5 | 14024113324430 |
| 6 | 1004444220400 |
| 7 | 106066226445 |
| oct | 20450161160 |
| 9 | 5661878070 |
| 10 | 2225136240 |
| 11 | a42038878 |
| 12 | 52123a700 |
| 13 | 295cc2882 |
| 14 | 1717419cc |
| 15 | d0534960 |
| hex | 84a0e270 |
2225136240 has 120 divisors (see below), whose sum is σ = 7490480400. Its totient is φ = 591962112.
The previous prime is 2225136233. The next prime is 2225136241. The reversal of 2225136240 is 426315222.
It is a happy number.
2225136240 is a `hidden beast` number, since 2 + 2 + 25 + 13 + 624 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×22251362402 = 9902462573122675200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2225136241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319839 + ... + 326721.
It is an arithmetic number, because the mean of its divisors is an integer number (62420670).
Almost surely, 22225136240 is an apocalyptic number.
2225136240 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 2225136240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745240200).
2225136240 is an abundant number, since it is smaller than the sum of its proper divisors (5265344160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2225136240 is a wasteful number, since it uses less digits than its factorization.
2225136240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7351 (or 7342 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 2225136240 is about 47171.3497792887. The cubic root of 2225136240 is about 1305.5260309431.
The spelling of 2225136240 in words is "two billion, two hundred twenty-five million, one hundred thirty-six thousand, two hundred forty".
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