Base | Representation |
---|---|
bin | 101010000110… |
… | …0011111100000 |
3 | 1112112100002020 |
4 | 1110030133200 |
5 | 21122240024 |
6 | 2105021440 |
7 | 355413465 |
oct | 124143740 |
9 | 45470066 |
10 | 22071264 |
11 | 11505516 |
12 | 7484880 |
13 | 475a127 |
14 | 2d0766c |
15 | 1e0e979 |
hex | 150c7e0 |
22071264 has 48 divisors (see below), whose sum is σ = 58902480. Its totient is φ = 7234560.
The previous prime is 22071263. The next prime is 22071271. The reversal of 22071264 is 46217022.
22071264 = 15622 + 15632 + ... + 15702.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22071263) 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 7 ways as a sum of consecutive naturals, for example, 3972 + ... + 7740.
It is an arithmetic number, because the mean of its divisors is an integer number (1227135).
Almost surely, 222071264 is an apocalyptic number.
22071264 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 22071264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29451240).
22071264 is an abundant number, since it is smaller than the sum of its proper divisors (36831216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22071264 is a wasteful number, since it uses less digits than its factorization.
22071264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3843 (or 3835 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 24.
The square root of 22071264 is about 4698.0063856917. The cubic root of 22071264 is about 280.5061592885.
Adding to 22071264 its reverse (46217022), we get a palindrome (68288286).
The spelling of 22071264 in words is "twenty-two million, seventy-one thousand, two hundred sixty-four".
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