226632120 has 256 divisors, whose sum is σ = 818657280. Its totient is φ = 49459200.

The previous prime is 226632101. The next prime is 226632127. The reversal of 226632120 is 21236622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226632127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 806380 + ... + 806660.

It is an arithmetic number, because the mean of its divisors is an integer number (3197880).

Almost surely, 2^226632120 is an apocalyptic number.

226632120 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 226632120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409328640).

226632120 is an abundant number, since it is smaller than the sum of its proper divisors (592025160).

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

226632120 is a wasteful number, since it uses less digits than its factorization.

226632120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 226632120 is about 15054.3056963780. The cubic root of 226632120 is about 609.6873072643.

Adding to 226632120 its reverse (21236622), we get a palindrome (247868742).

The spelling of 226632120 in words is "two hundred twenty-six million, six hundred thirty-two thousand, one hundred twenty".