212190 has 32 divisors (see below), whose sum is σ = 556416. Its totient is φ = 51360.

The previous prime is 212183. The next prime is 212203. The reversal of 212190 is 91212.

212190 = 204² + 205² + ... + 208².

It is a happy number.

It is a super-2 number, since 2×212190² = 90049192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (17388).

2²¹²¹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278208).

212190 is an abundant number, since it is smaller than the sum of its proper divisors (344226).

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

212190 is a wasteful number, since it uses less digits than its factorization.

212190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664.

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

The square root of 212190 is about 460.6408579360. The cubic root of 212190 is about 59.6451274515.

Adding to 212190 its product of nonzero digits (36), we get a triangular number (212226 = T₆₅₁).

It can be divided in two parts, 2121 and 90, that added together give a triangular number (2211 = T₆₆).

The spelling of 212190 in words is "two hundred twelve thousand, one hundred ninety".