212245152 has 96 divisors (see below), whose sum is σ = 641862144. Its totient is φ = 60153600.

The previous prime is 212245129. The next prime is 212245157. The reversal of 212245152 is 251542212.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (212245157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86827 + ... + 89237.

It is an arithmetic number, because the mean of its divisors is an integer number (6686064).

Almost surely, 2^212245152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212245152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320931072).

212245152 is an abundant number, since it is smaller than the sum of its proper divisors (429616992).

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

212245152 is a wasteful number, since it uses less digits than its factorization.

212245152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2554 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 212245152 is about 14568.6359004541. The cubic root of 212245152 is about 596.5029461787.

Adding to 212245152 its reverse (251542212), we get a palindrome (463787364).

It can be divided in two parts, 2122 and 45152, that added together give a palindrome (47274).

The spelling of 212245152 in words is "two hundred twelve million, two hundred forty-five thousand, one hundred fifty-two".