213155712 has 384 divisors, whose sum is σ = 801964800. Its totient is φ = 54743040.

The previous prime is 213155711. The next prime is 213155717. The reversal of 213155712 is 217551312.

213155712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 (213155711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2394964 + ... + 2395052.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^213155712 is an apocalyptic number.

213155712 is a gapful number since it is divisible by the number (22) 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 213155712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

213155712 is an abundant number, since it is smaller than the sum of its proper divisors (588809088).

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

213155712 is an equidigital number, since it uses as much as digits as its factorization.

213155712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 213155712 is about 14599.8531499464. The cubic root of 213155712 is about 597.3547549361.

The spelling of 213155712 in words is "two hundred thirteen million, one hundred fifty-five thousand, seven hundred twelve".