22154011400 has 96 divisors (see below), whose sum is σ = 54873050400. Its totient is φ = 8293939200.

The previous prime is 22154011361. The next prime is 22154011409. The reversal of 22154011400 is 411045122.

It is a happy number.

It is a super-2 number, since 2×22154011400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22154011409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280280 + ... + 350520.

It is an arithmetic number, because the mean of its divisors is an integer number (571594275).

Almost surely, 2^22154011400 is an apocalyptic number.

22154011400 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 22154011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27436525200).

22154011400 is an abundant number, since it is smaller than the sum of its proper divisors (32719039000).

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

22154011400 is a wasteful number, since it uses less digits than its factorization.

22154011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70359 (or 70350 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 22154011400 its reverse (411045122), we get a palindrome (22565056522).

The spelling of 22154011400 in words is "twenty-two billion, one hundred fifty-four million, eleven thousand, four hundred".