22072227840 has 960 divisors, whose sum is σ = 89902612800. Its totient is φ = 5138546688.

The previous prime is 22072227833. The next prime is 22072227869. The reversal of 22072227840 is 4872227022.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×22072227840⁴ (a number of 42 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 22072227795 and 22072227804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248002516 + ... + 248002604.

It is an arithmetic number, because the mean of its divisors is an integer number (93648555).

Almost surely, 2^22072227840 is an apocalyptic number.

22072227840 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 22072227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44951306400).

22072227840 is an abundant number, since it is smaller than the sum of its proper divisors (67830384960).

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

22072227840 is a wasteful number, since it uses less digits than its factorization.

22072227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 22072227840 in words is "twenty-two billion, seventy-two million, two hundred twenty-seven thousand, eight hundred forty".