212925024 has 240 divisors, whose sum is σ = 691558560. Its totient is φ = 63866880.

The previous prime is 212924981. The next prime is 212925029. The reversal of 212925024 is 420529212.

It is a happy number.

212925024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212925029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2392372 + ... + 2392460.

It is an arithmetic number, because the mean of its divisors is an integer number (2881494).

Almost surely, 2^212925024 is an apocalyptic number.

212925024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212925024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345779280).

212925024 is an abundant number, since it is smaller than the sum of its proper divisors (478633536).

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

212925024 is a wasteful number, since it uses less digits than its factorization.

212925024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 212925024 is about 14591.9506578113. The cubic root of 212925024 is about 597.1391812058.

The spelling of 212925024 in words is "two hundred twelve million, nine hundred twenty-five thousand, twenty-four".