221429140 has 24 divisors (see below), whose sum is σ = 469271880. Its totient is φ = 87758208.

The previous prime is 221429111. The next prime is 221429147. The reversal of 221429140 is 41924122.

It can be written as a sum of positive squares in 4 ways, for example, as 42458256 + 178970884 = 6516^2 + 13378^2 .

It is a super-2 number, since 2×221429140² = 98061728082279200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221429147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48607 + ... + 52966.

It is an arithmetic number, because the mean of its divisors is an integer number (19552995).

Almost surely, 2^221429140 is an apocalyptic number.

221429140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221429140 is an abundant number, since it is smaller than the sum of its proper divisors (247842740).

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

221429140 is a wasteful number, since it uses less digits than its factorization.

221429140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101691 (or 101689 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 221429140 is about 14880.4952874560. The cubic root of 221429140 is about 604.9854423563.

The spelling of 221429140 in words is "two hundred twenty-one million, four hundred twenty-nine thousand, one hundred forty".