Base | Representation |
---|---|
bin | 101010001011… |
… | …0111011111000 |
3 | 1112121111202112 |
4 | 1110112323320 |
5 | 21130122130 |
6 | 2105551452 |
7 | 355652264 |
oct | 124267370 |
9 | 45544675 |
10 | 22114040 |
11 | 11534673 |
12 | 74a5588 |
13 | 4773740 |
14 | 2d190a4 |
15 | 1e1c495 |
hex | 1516ef8 |
22114040 has 96 divisors (see below), whose sum is σ = 57244320. Its totient is φ = 7628544.
The previous prime is 22114039. The next prime is 22114061. The reversal of 22114040 is 4041122.
22114040 = T146 + T147 + ... + T513.
It is a super-3 number, since 3×221140403 (a number of 23 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514259 + ... + 514301.
It is an arithmetic number, because the mean of its divisors is an integer number (596295).
Almost surely, 222114040 is an apocalyptic number.
22114040 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 22114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28622160).
22114040 is an abundant number, since it is smaller than the sum of its proper divisors (35130280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22114040 is a wasteful number, since it uses less digits than its factorization.
22114040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 133 (or 86 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 22114040 is about 4702.5567513854. The cubic root of 22114040 is about 280.6872573315.
Adding to 22114040 its reverse (4041122), we get a palindrome (26155162).
The spelling of 22114040 in words is "twenty-two million, one hundred fourteen thousand, forty".
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