211929140 has 24 divisors (see below), whose sum is σ = 471231432. Its totient is φ = 79784960.

The previous prime is 211929101. The next prime is 211929149. The reversal of 211929140 is 41929112.

It can be written as a sum of positive squares in 4 ways, for example, as 6522916 + 205406224 = 2554^2 + 14332^2 .

It is a super-2 number, since 2×211929140² = 89827920762279200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211929149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311321 + ... + 312000.

It is an arithmetic number, because the mean of its divisors is an integer number (19634643).

Almost surely, 2^211929140 is an apocalyptic number.

211929140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211929140 is an abundant number, since it is smaller than the sum of its proper divisors (259302292).

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

211929140 is a wasteful number, since it uses less digits than its factorization.

211929140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623347 (or 623345 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 211929140 is about 14557.7862328034. The cubic root of 211929140 is about 596.2067545369.

The spelling of 211929140 in words is "two hundred eleven million, nine hundred twenty-nine thousand, one hundred forty".