221830 has 16 divisors (see below), whose sum is σ = 456480. Its totient is φ = 76032.

The previous prime is 221827. The next prime is 221831. The reversal of 221830 is 38122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1515 + ... + 1654.

It is an arithmetic number, because the mean of its divisors is an integer number (28530).

2²²¹⁸³⁰ is an apocalyptic number.

221830 is an abundant number, since it is smaller than the sum of its proper divisors (234650).

It is a weird number, because it is abundant, but not a pseudoperfect number.

221830 is a wasteful number, since it uses less digits than its factorization.

221830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 221830 is about 470.9883225729. The cubic root of 221830 is about 60.5350296876.

Adding to 221830 its reverse (38122), we get a palindrome (259952).

It can be divided in two parts, 2 and 21830, that multiplied together give a triangular number (43660 = T₂₉₅).

The spelling of 221830 in words is "two hundred twenty-one thousand, eight hundred thirty".