226713600 has 336 divisors, whose sum is σ = 853226640. Its totient is φ = 58982400.

The previous prime is 226713593. The next prime is 226713607. The reversal of 226713600 is 6317622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (226713593) and next prime (226713607).

It is a super-4 number, since 4×226713600⁴ (a number of 35 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226713607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529580 + ... + 5529620.

It is an arithmetic number, because the mean of its divisors is an integer number (2539365).

Almost surely, 2^226713600 is an apocalyptic number.

226713600 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 226713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426613320).

226713600 is an abundant number, since it is smaller than the sum of its proper divisors (626513040).

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

226713600 is an equidigital number, since it uses as much as digits as its factorization.

226713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 226713600 is about 15057.0116557038. The cubic root of 226713600 is about 609.7603645308.

The spelling of 226713600 in words is "two hundred twenty-six million, seven hundred thirteen thousand, six hundred".