221142340 has 24 divisors (see below), whose sum is σ = 476951832. Its totient is φ = 86065920.

The previous prime is 221142293. The next prime is 221142343. The reversal of 221142340 is 43241122.

221142340 = T₃₇₃ + T₃₇₄ + ... + T₁₁₁₂.

221142340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 55711296 + 165431044 = 7464^2 + 12862^2 .

It is not an unprimeable number, because it can be changed into a prime (221142343) 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, 148681 + ... + 150160.

It is an arithmetic number, because the mean of its divisors is an integer number (19872993).

Almost surely, 2^221142340 is an apocalyptic number.

221142340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221142340 is an abundant number, since it is smaller than the sum of its proper divisors (255809492).

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

221142340 is a wasteful number, since it uses less digits than its factorization.

221142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298887 (or 298885 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 221142340 is about 14870.8553889815. The cubic root of 221142340 is about 604.7241325905.

Adding to 221142340 its reverse (43241122), we get a palindrome (264383462).

It can be divided in two parts, 2211 and 42340, that added together give a triangular number (44551 = T₂₉₈).

The spelling of 221142340 in words is "two hundred twenty-one million, one hundred forty-two thousand, three hundred forty".