194220 has 72 divisors (see below), whose sum is σ = 642096. Its totient is φ = 47232.

The previous prime is 194203. The next prime is 194239. The reversal of 194220 is 22491.

194220 = T₁₀₉ + T₁₁₀ + ... + T₁₃₄.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 1 + 9⁵ + 2 + 4⁶ + 2¹⁷ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 194193 and 194202.

It is an unprimeable number.

194220 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 2299 + ... + 2381.

It is an arithmetic number, because the mean of its divisors is an integer number (8918).

2¹⁹⁴²²⁰ is an apocalyptic number.

194220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

194220 is the 360-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321048).

194220 is an abundant number, since it is smaller than the sum of its proper divisors (447876).

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

194220 is a wasteful number, since it uses less digits than its factorization.

194220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 194220 is about 440.7039822829. The cubic root of 194220 is about 57.9114781221.

It can be divided in two parts, 194 and 220, that added together give a palindrome (414).

The spelling of 194220 in words is "one hundred ninety-four thousand, two hundred twenty".