22254153600 has 288 divisors, whose sum is σ = 85268705400. Its totient is φ = 5086556160.

The previous prime is 22254153599. The next prime is 22254153611. The reversal of 22254153600 is 635145222.

It is a super-4 number, since 4×22254153600⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 446746 + ... + 494054.

Almost surely, 2^22254153600 is an apocalyptic number.

22254153600 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 22254153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42634352700).

22254153600 is an abundant number, since it is smaller than the sum of its proper divisors (63014551800).

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

22254153600 is a wasteful number, since it uses less digits than its factorization.

22254153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47350 (or 47326 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 22254153600 its reverse (635145222), we get a palindrome (22889298822).

The spelling of 22254153600 in words is "twenty-two billion, two hundred fifty-four million, one hundred fifty-three thousand, six hundred".