22472150400 has 1152 divisors, whose sum is σ = 99443635200. Its totient is φ = 4715642880.

The previous prime is 22472150381. The next prime is 22472150411. The reversal of 22472150400 is 405127422.

22472150400 is a `hidden beast` number, since 2 + 2 + 47 + 215 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270748759 + ... + 270748841.

It is an arithmetic number, because the mean of its divisors is an integer number (86322600).

Almost surely, 2^22472150400 is an apocalyptic number.

22472150400 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 22472150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49721817600).

22472150400 is an abundant number, since it is smaller than the sum of its proper divisors (76971484800).

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

22472150400 is a wasteful number, since it uses less digits than its factorization.

22472150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

22472150400 divided by its product of nonzero digits (4480) gives a palindrome (5016105).

Adding to 22472150400 its reverse (405127422), we get a palindrome (22877277822).

The spelling of 22472150400 in words is "twenty-two billion, four hundred seventy-two million, one hundred fifty thousand, four hundred".