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19212 = 2231601
BaseRepresentation
bin100101100001100
3222100120
410230030
51103322
6224540
7110004
oct45414
928316
1019212
1113486
12b150
13898b
147004
155a5c
hex4b0c

19212 has 12 divisors (see below), whose sum is σ = 44856. Its totient is φ = 6400.

The previous prime is 19211. The next prime is 19213. The reversal of 19212 is 21291.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19211) and next prime (19213).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19191 and 19200.

It is not an unprimeable number, because it can be changed into a prime (19211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 789 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (3738).

219212 is an apocalyptic number.

19212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19212 is an abundant number, since it is smaller than the sum of its proper divisors (25644).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22428).

19212 is a wasteful number, since it uses less digits than its factorization.

19212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1606 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 19212 is about 138.6073591120. The cubic root of 19212 is about 26.7828954494.

It can be divided in two parts, 192 and 12, that multiplied together give a square (2304 = 482).

The spelling of 19212 in words is "nineteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 1601 3202 4803 6404 9606 19212