Base | Representation |
---|---|
bin | 1111010000111… |
… | …0011001100000 |
3 | 11110110122211100 |
4 | 3310032121200 |
5 | 112342201422 |
6 | 10204114400 |
7 | 1405115250 |
oct | 364163140 |
9 | 143418740 |
10 | 64022112 |
11 | 33158840 |
12 | 19535a00 |
13 | 1035790b |
14 | 8707960 |
15 | 59497ac |
hex | 3d0e660 |
64022112 has 144 divisors (see below), whose sum is σ = 227066112. Its totient is φ = 16623360.
The previous prime is 64022107. The next prime is 64022117. The reversal of 64022112 is 21122046.
64022112 is a `hidden beast` number, since 640 + 2 + 21 + 1 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (64022107) and next prime (64022117).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (64022117) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20733 + ... + 23619.
It is an arithmetic number, because the mean of its divisors is an integer number (1576848).
Almost surely, 264022112 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 64022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113533056).
64022112 is an abundant number, since it is smaller than the sum of its proper divisors (163044000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64022112 is a wasteful number, since it uses less digits than its factorization.
64022112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2921 (or 2910 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 64022112 is about 8001.3818806504. The cubic root of 64022112 is about 400.0460613623.
Adding to 64022112 its reverse (21122046), we get a palindrome (85144158).
The spelling of 64022112 in words is "sixty-four million, twenty-two thousand, one hundred twelve".
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