226971360 has 576 divisors, whose sum is σ = 1018967040. Its totient is φ = 44605440.

The previous prime is 226971347. The next prime is 226971379. The reversal of 226971360 is 63179622.

226971360 is a `hidden beast` number, since 226 + 9 + 71 + 360 = 666.

226971360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2550196 + ... + 2550284.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^226971360 is an apocalyptic number.

226971360 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 226971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509483520).

226971360 is an abundant number, since it is smaller than the sum of its proper divisors (791995680).

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

226971360 is a wasteful number, since it uses less digits than its factorization.

226971360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 226971360 is about 15065.5686915563. The cubic root of 226971360 is about 609.9913642063.

The spelling of 226971360 in words is "two hundred twenty-six million, nine hundred seventy-one thousand, three hundred sixty".