22101480 has 144 divisors (see below), whose sum is σ = 75411180. Its totient is φ = 5612544.

The previous prime is 22101467. The next prime is 22101487. The reversal of 22101480 is 8410122.

It can be written as a sum of positive squares in 6 ways, for example, as 10771524 + 11329956 = 3282^2 + 3366^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22101487) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 302724 + ... + 302796.

Almost surely, 2^22101480 is an apocalyptic number.

22101480 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 22101480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37705590).

22101480 is an abundant number, since it is smaller than the sum of its proper divisors (53309700).

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

22101480 is a wasteful number, since it uses less digits than its factorization.

22101480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 22101480 is about 4701.2211179650. The cubic root of 22101480 is about 280.6341070915.

The spelling of 22101480 in words is "twenty-two million, one hundred one thousand, four hundred eighty".