226712640 has 224 divisors, whose sum is σ = 897721344. Its totient is φ = 47093760.

The previous prime is 226712639. The next prime is 226712659. The reversal of 226712640 is 46217622.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×226712640² = 102797242271539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 226712598 and 226712607.

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 31 ways as a sum of consecutive naturals, for example, 72387 + ... + 75453.

Almost surely, 2^226712640 is an apocalyptic number.

226712640 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 226712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448860672).

226712640 is an abundant number, since it is smaller than the sum of its proper divisors (671008704).

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

226712640 is a wasteful number, since it uses less digits than its factorization.

226712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 226712640 is about 15056.9797768344. The cubic root of 226712640 is about 609.7595038696.

The spelling of 226712640 in words is "two hundred twenty-six million, seven hundred twelve thousand, six hundred forty".