Base | Representation |
---|---|
bin | 100100010010… |
… | …0000100100000 |
3 | 1022210102102200 |
4 | 1020210010200 |
5 | 14332201422 |
6 | 1515413200 |
7 | 320454024 |
oct | 110440440 |
9 | 38712380 |
10 | 19022112 |
11 | a81265a |
12 | 6454200 |
13 | 3c302b5 |
14 | 2752384 |
15 | 1a0b2ac |
hex | 1224120 |
19022112 has 54 divisors (see below), whose sum is σ = 54305433. Its totient is φ = 6316032.
The previous prime is 19022093. The next prime is 19022119. The reversal of 19022112 is 21122091.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 11861136 + 7160976 = 3444^2 + 2676^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=3084.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (19022119) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73888 + ... + 74144.
Almost surely, 219022112 is an apocalyptic number.
19022112 is a gapful number since it is divisible by the number (12) 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 19022112
19022112 is an abundant number, since it is smaller than the sum of its proper divisors (35283321).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19022112 is an equidigital number, since it uses as much as digits as its factorization.
19022112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 530 (or 262 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
The square root of 19022112 is about 4361.4346263586. The cubic root of 19022112 is about 266.9436399998.
Multiplying 19022112 by its sum of digits (18), we get a square (342398016 = 185042).
19022112 divided by its sum of digits (18) gives a square (1056784 = 10282).
Multiplying 19022112 by its product of nonzero digits (72), we get a square (1369592064 = 370082).
19022112 divided by its product of nonzero digits (72) gives a square (264196 = 5142).
The spelling of 19022112 in words is "nineteen million, twenty-two thousand, one hundred twelve".
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