20228225472 has 1344 divisors, whose sum is σ = 84060426240. Its totient is φ = 4700602368.

The previous prime is 20228225453. The next prime is 20228225503. The reversal of 20228225472 is 27452282202.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×20228225472² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 430387753 + ... + 430387799.

It is an arithmetic number, because the mean of its divisors is an integer number (62544960).

Almost surely, 2^20228225472 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 20228225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42030213120).

20228225472 is an abundant number, since it is smaller than the sum of its proper divisors (63832200768).

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

20228225472 is a wasteful number, since it uses less digits than its factorization.

20228225472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 20228225472 in words is "twenty billion, two hundred twenty-eight million, two hundred twenty-five thousand, four hundred seventy-two".