Base | Representation |
---|---|
bin | 1000010110001001… |
… | …0000010101110000 |
3 | 12210010121112211100 |
4 | 2011202100111300 |
5 | 14042012141202 |
6 | 1010150244400 |
7 | 106342441230 |
oct | 20542202560 |
9 | 5703545740 |
10 | 2240349552 |
11 | a4a689861 |
12 | 526356700 |
13 | 2991bb32c |
14 | 173781cc0 |
15 | d1a3c41c |
hex | 85890570 |
2240349552 has 240 divisors, whose sum is σ = 7409525760. Its totient is φ = 618624000.
The previous prime is 2240349533. The next prime is 2240349583. The reversal of 2240349552 is 2559430422.
2240349552 is a `hidden beast` number, since 22 + 40 + 3 + 49 + 552 = 666.
It is a super-2 number, since 2×22403495522 = 10038332230293201408, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 6240349 + ... + 6240707.
It is an arithmetic number, because the mean of its divisors is an integer number (30873024).
Almost surely, 22240349552 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2240349552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704762880).
2240349552 is an abundant number, since it is smaller than the sum of its proper divisors (5169176208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2240349552 is a wasteful number, since it uses less digits than its factorization.
2240349552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 572 (or 563 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The square root of 2240349552 is about 47332.3309377428. The cubic root of 2240349552 is about 1308.4945805218.
Adding to 2240349552 its reverse (2559430422), we get a palindrome (4799779974).
It can be divided in two parts, 224034 and 9552, that added together give a triangular number (233586 = T683).
The spelling of 2240349552 in words is "two billion, two hundred forty million, three hundred forty-nine thousand, five hundred fifty-two".
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