226359144 has 128 divisors (see below), whose sum is σ = 700876800. Its totient is φ = 67101120.

The previous prime is 226359127. The next prime is 226359151. The reversal of 226359144 is 441953622.

It is a happy number.

226359144 is a `hidden beast` number, since 2 + 2 + 63 + 591 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226359099 and 226359108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110659 + ... + 112685.

It is an arithmetic number, because the mean of its divisors is an integer number (5475600).

Almost surely, 2^226359144 is an apocalyptic number.

226359144 is a gapful number since it is divisible by the number (24) 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 226359144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350438400).

226359144 is an abundant number, since it is smaller than the sum of its proper divisors (474517656).

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

226359144 is a wasteful number, since it uses less digits than its factorization.

226359144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2090 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 226359144 is about 15045.2365883691. The cubic root of 226359144 is about 609.4424216052.

The spelling of 226359144 in words is "two hundred twenty-six million, three hundred fifty-nine thousand, one hundred forty-four".