211220240 has 160 divisors (see below), whose sum is σ = 648601344. Its totient is φ = 61931520.

The previous prime is 211220237. The next prime is 211220281. The reversal of 211220240 is 42022112.

211220240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211220240² = 89227979571315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103712 + ... + 105728.

Almost surely, 2^211220240 is an apocalyptic number.

211220240 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 211220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324300672).

211220240 is an abundant number, since it is smaller than the sum of its proper divisors (437381104).

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

211220240 is a wasteful number, since it uses less digits than its factorization.

211220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 211220240 is about 14533.4180425666. The cubic root of 211220240 is about 595.5412442004.

Adding to 211220240 its reverse (42022112), we get a palindrome (253242352).

The spelling of 211220240 in words is "two hundred eleven million, two hundred twenty thousand, two hundred forty".