22145010400 has 36 divisors (see below), whose sum is σ = 54061508592. Its totient is φ = 8858003840.

The previous prime is 22145010367. The next prime is 22145010401. The reversal of 22145010400 is 401054122.

It is a super-2 number, since 2×22145010400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145010401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13839832 + ... + 13841431.

It is an arithmetic number, because the mean of its divisors is an integer number (1501708572).

Almost surely, 2^22145010400 is an apocalyptic number.

22145010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22145010400 is an abundant number, since it is smaller than the sum of its proper divisors (31916498192).

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

22145010400 is a wasteful number, since it uses less digits than its factorization.

22145010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27681283 (or 27681270 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 22145010400 its reverse (401054122), we get a palindrome (22546064522).

The spelling of 22145010400 in words is "twenty-two billion, one hundred forty-five million, ten thousand, four hundred".