Base | Representation |
---|---|
bin | 100100011110… |
… | …0100000010000 |
3 | 1022222111201100 |
4 | 1020330200100 |
5 | 14343402232 |
6 | 1521504400 |
7 | 321351555 |
oct | 110744020 |
9 | 38874640 |
10 | 19122192 |
11 | a880871 |
12 | 64a2100 |
13 | 3c66a0b |
14 | 277aa2c |
15 | 1a2ac7c |
hex | 123c810 |
19122192 has 90 divisors (see below), whose sum is σ = 55568058. Its totient is φ = 6137856.
The previous prime is 19122167. The next prime is 19122193. The reversal of 19122192 is 29122191.
It can be written as a sum of positive squares in 3 ways, for example, as 10265616 + 8856576 = 3204^2 + 2976^2 .
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (19122193) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 197088 + ... + 197184.
Almost surely, 219122192 is an apocalyptic number.
19122192 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 19122192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27784029).
19122192 is an abundant number, since it is smaller than the sum of its proper divisors (36445866).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19122192 is a wasteful number, since it uses less digits than its factorization.
19122192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 185 (or 139 counting only the distinct ones).
The product of its digits is 648, while the sum is 27.
The square root of 19122192 is about 4372.8928639975. The cubic root of 19122192 is about 267.4109733732.
Subtracting 19122192 from its reverse (29122191), we obtain a palindrome (9999999).
The spelling of 19122192 in words is "nineteen million, one hundred twenty-two thousand, one hundred ninety-two".
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