22405152 has 144 divisors (see below), whose sum is σ = 74807712. Its totient is φ = 5806080.

The previous prime is 22405079. The next prime is 22405153. The reversal of 22405152 is 25150422.

It is a happy number.

It is a super-2 number, since 2×22405152² = 1003981672286208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (22405153) 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, 51528 + ... + 51960.

It is an arithmetic number, because the mean of its divisors is an integer number (519498).

Almost surely, 2^22405152 is an apocalyptic number.

22405152 is a gapful number since it is divisible by the number (22) 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 22405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37403856).

22405152 is an abundant number, since it is smaller than the sum of its proper divisors (52402560).

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

22405152 is a wasteful number, since it uses less digits than its factorization.

22405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 22405152 is about 4733.4080745273. The cubic root of 22405152 is about 281.9135593420.

Adding to 22405152 its reverse (25150422), we get a palindrome (47555574).

The spelling of 22405152 in words is "twenty-two million, four hundred five thousand, one hundred fifty-two".