212164224 has 32 divisors (see below), whose sum is σ = 563562240. Its totient is φ = 70721280.

The previous prime is 212164219. The next prime is 212164243. The reversal of 212164224 is 422461212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 212164194 and 212164203.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275872 + ... + 276639.

It is an arithmetic number, because the mean of its divisors is an integer number (17611320).

Almost surely, 2^212164224 is an apocalyptic number.

212164224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212164224 is an abundant number, since it is smaller than the sum of its proper divisors (351398016).

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

212164224 is an equidigital number, since it uses as much as digits as its factorization.

212164224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552528 (or 552516 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 212164224 is about 14565.8581621544. The cubic root of 212164224 is about 596.4271220248.

The spelling of 212164224 in words is "two hundred twelve million, one hundred sixty-four thousand, two hundred twenty-four".