Base | Representation |
---|---|
bin | 1000010000010110… |
… | …1101011001000000 |
3 | 12201102221222211000 |
4 | 2010011231121000 |
5 | 14014304323102 |
6 | 1003522252000 |
7 | 105626306214 |
oct | 20405553100 |
9 | 5642858730 |
10 | 2216089152 |
11 | a37a19642 |
12 | 51a1b7000 |
13 | 294175974 |
14 | 170468944 |
15 | ce84901c |
hex | 8416d640 |
2216089152 has 112 divisors (see below), whose sum is σ = 6528816000. Its totient is φ = 737118720.
The previous prime is 2216089087. The next prime is 2216089153. The reversal of 2216089152 is 2519806122.
It is a super-2 number, since 2×22160891522 = 9822102259224158208, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2216089153) 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 15 ways as a sum of consecutive naturals, for example, 1034002 + ... + 1036142.
It is an arithmetic number, because the mean of its divisors is an integer number (58293000).
Almost surely, 22216089152 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 2216089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264408000).
2216089152 is an abundant number, since it is smaller than the sum of its proper divisors (4312726848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2216089152 is a wasteful number, since it uses less digits than its factorization.
2216089152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2761 (or 2745 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 36.
The square root of 2216089152 is about 47075.3561006181. The cubic root of 2216089152 is about 1303.7542663655.
The spelling of 2216089152 in words is "two billion, two hundred sixteen million, eighty-nine thousand, one hundred fifty-two".
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