220741540 has 48 divisors (see below), whose sum is σ = 477260784. Its totient is φ = 85708800.

The previous prime is 220741531. The next prime is 220741541. The reversal of 220741540 is 45147022.

220741540 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 8 ways, for example, as 52157284 + 168584256 = 7222^2 + 12984^2 .

It is not an unprimeable number, because it can be changed into a prime (220741541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197062 + ... + 198178.

It is an arithmetic number, because the mean of its divisors is an integer number (9942933).

Almost surely, 2^220741540 is an apocalyptic number.

220741540 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 220741540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238630392).

220741540 is an abundant number, since it is smaller than the sum of its proper divisors (256519244).

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

220741540 is a wasteful number, since it uses less digits than its factorization.

220741540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 220741540 is about 14857.3732537081. The cubic root of 220741540 is about 604.3585761705.

Adding to 220741540 its reverse (45147022), we get a palindrome (265888562).

The spelling of 220741540 in words is "two hundred twenty million, seven hundred forty-one thousand, five hundred forty".