211332040 has 32 divisors (see below), whose sum is σ = 487098360. Its totient is φ = 82470400.

The previous prime is 211332029. The next prime is 211332059. The reversal of 211332040 is 40233112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85488516 + 125843524 = 9246^2 + 11218^2 .

It is a super-2 number, since 2×211332040² = 89322462261123200, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 62791 + ... + 66070.

Almost surely, 2^211332040 is an apocalyptic number.

211332040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211332040 is an abundant number, since it is smaller than the sum of its proper divisors (275766320).

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

211332040 is a wasteful number, since it uses less digits than its factorization.

211332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128913 (or 128909 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 211332040 is about 14537.2638415900. The cubic root of 211332040 is about 595.6463000530.

Adding to 211332040 its reverse (40233112), we get a palindrome (251565152).

The spelling of 211332040 in words is "two hundred eleven million, three hundred thirty-two thousand, forty".