226653120 has 224 divisors, whose sum is σ = 822350400. Its totient is φ = 58724352.

The previous prime is 226653107. The next prime is 226653131. The reversal of 226653120 is 21356622.

226653120 is a `hidden beast` number, since 2 + 2 + 6 + 653 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319326 + ... + 320034.

Almost surely, 2^226653120 is an apocalyptic number.

226653120 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 226653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411175200).

226653120 is an abundant number, since it is smaller than the sum of its proper divisors (595697280).

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

226653120 is a wasteful number, since it uses less digits than its factorization.

226653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 226653120 is about 15055.0031550976. The cubic root of 226653120 is about 609.7061381314.

The spelling of 226653120 in words is "two hundred twenty-six million, six hundred fifty-three thousand, one hundred twenty".