Search a number
-
+
2814192 = 243219543
BaseRepresentation
bin1010101111000011110000
312021222100100
422233003300
51210023232
6140152400
732630433
oct12570360
95258310
102814192
111652387
12b38700
13776c04
1453381a
153a8c7c
hex2af0f0

2814192 has 30 divisors (see below), whose sum is σ = 7876232. Its totient is φ = 938016.

The previous prime is 2814179. The next prime is 2814233. The reversal of 2814192 is 2914182.

2814192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28141922 = 15839353225728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 9628 + ... + 9915.

22814192 is an apocalyptic number.

It is an amenable number.

2814192 is an abundant number, since it is smaller than the sum of its proper divisors (5062040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2814192 is a wasteful number, since it uses less digits than its factorization.

2814192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19557 (or 19548 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2814192 is about 1677.5553642131. Note that the first 3 decimals coincide. The cubic root of 2814192 is about 141.1837050214.

The spelling of 2814192 in words is "two million, eight hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 19543 39086 58629 78172 117258 156344 175887 234516 312688 351774 469032 703548 938064 1407096 2814192