22151550240 has 288 divisors, whose sum is σ = 81602277120. Its totient is φ = 5455177728.

The previous prime is 22151550191. The next prime is 22151550241. The reversal of 22151550240 is 4205515122.

22151550240 is a `hidden beast` number, since 2 + 2 + 151 + 5 + 502 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (22151550241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948949 + ... + 972011.

It is an arithmetic number, because the mean of its divisors is an integer number (283341240).

Almost surely, 2^22151550240 is an apocalyptic number.

22151550240 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 22151550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40801138560).

22151550240 is an abundant number, since it is smaller than the sum of its proper divisors (59450726880).

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

22151550240 is a wasteful number, since it uses less digits than its factorization.

22151550240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23136 (or 23125 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 22151550240 in words is "twenty-two billion, one hundred fifty-one million, five hundred fifty thousand, two hundred forty".