211253720 has 64 divisors (see below), whose sum is σ = 498718080. Its totient is φ = 80441856.

The previous prime is 211253717. The next prime is 211253741. The reversal of 211253720 is 27352112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68042 + ... + 71078.

It is an arithmetic number, because the mean of its divisors is an integer number (7792470).

Almost surely, 2^211253720 is an apocalyptic number.

211253720 is a gapful number since it is divisible by the number (20) 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 211253720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249359040).

211253720 is an abundant number, since it is smaller than the sum of its proper divisors (287464360).

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

211253720 is a wasteful number, since it uses less digits than its factorization.

211253720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 211253720 is about 14534.5698250757. The cubic root of 211253720 is about 595.5727084633.

The spelling of 211253720 in words is "two hundred eleven million, two hundred fifty-three thousand, seven hundred twenty".