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22226400 = 25345273
BaseRepresentation
bin101010011001…
…0010111100000
31112211012220000
41110302113200
521142221100
62112220000
7356631000
oct124622740
945735800
1022226400
1111601029
12753a600
1347b2921
142d48000
151e40900
hex15325e0

22226400 has 360 divisors, whose sum is σ = 94525200. Its totient is φ = 5080320.

The previous prime is 22226389. The next prime is 22226419. The reversal of 22226400 is 462222.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22226400 is a `hidden beast` number, since 2 + 2 + 22 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3175197 + ... + 3175203.

It is an arithmetic number, because the mean of its divisors is an integer number (262570).

Almost surely, 222226400 is an apocalyptic number.

22226400 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 22226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47262600).

22226400 is an abundant number, since it is smaller than the sum of its proper divisors (72298800).

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

22226400 is an equidigital number, since it uses as much as digits as its factorization.

22226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22226400 is about 4714.4883073352. The cubic root of 22226400 is about 281.1618390345.

Adding to 22226400 its reverse (462222), we get a palindrome (22688622).

The spelling of 22226400 in words is "twenty-two million, two hundred twenty-six thousand, four hundred".