226772640 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 56094720.

The previous prime is 226772633. The next prime is 226772641. The reversal of 226772640 is 46277622.

226772640 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 226772595 and 226772604.

It is not an unprimeable number, because it can be changed into a prime (226772641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1357837 + ... + 1358003.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^226772640 is an apocalyptic number.

226772640 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 226772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

226772640 is an abundant number, since it is smaller than the sum of its proper divisors (605383776).

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

226772640 is a wasteful number, since it uses less digits than its factorization.

226772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 226772640 is about 15058.9720764732. The cubic root of 226772640 is about 609.8132905240.

The spelling of 226772640 in words is "two hundred twenty-six million, seven hundred seventy-two thousand, six hundred forty".