8222742144 has 288 divisors, whose sum is σ = 25166100960. Its totient is φ = 2576471040.

The previous prime is 8222742137. The next prime is 8222742163. The reversal of 8222742144 is 4412472228.

8222742144 is a `hidden beast` number, since 8 + 2 + 227 + 421 + 4 + 4 = 666.

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

It is a super-2 number, since 2×8222742144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8222742099 and 8222742108.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62768959 + ... + 62769089.

It is an arithmetic number, because the mean of its divisors is an integer number (87382295).

Almost surely, 2^8222742144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8222742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12583050480).

8222742144 is an abundant number, since it is smaller than the sum of its proper divisors (16943358816).

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

8222742144 is a wasteful number, since it uses less digits than its factorization.

8222742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 262 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 8222742144 is about 90679.3369186167. The cubic root of 8222742144 is about 2018.3921905324.

The spelling of 8222742144 in words is "eight billion, two hundred twenty-two million, seven hundred forty-two thousand, one hundred forty-four".