211453242 has 256 divisors, whose sum is σ = 638668800. Its totient is φ = 44789760.

The previous prime is 211453241. The next prime is 211453247. The reversal of 211453242 is 242354112.

It is not an unprimeable number, because it can be changed into a prime (211453241) 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 127 ways as a sum of consecutive naturals, for example, 1939884 + ... + 1939992.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^211453242 is an apocalyptic number.

211453242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211453242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319334400).

211453242 is an abundant number, since it is smaller than the sum of its proper divisors (427215558).

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

211453242 is a wasteful number, since it uses less digits than its factorization.

211453242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181.

The product of its digits is 1920, while the sum is 24.

The square root of 211453242 is about 14541.4319102350. The cubic root of 211453242 is about 595.7601488979.

The spelling of 211453242 in words is "two hundred eleven million, four hundred fifty-three thousand, two hundred forty-two".