227415456 has 72 divisors (see below), whose sum is σ = 649679940. Its totient is φ = 75457536.

The previous prime is 227415439. The next prime is 227415491. The reversal of 227415456 is 654514722.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 222487056 + 4928400 = 14916^2 + 2220^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 227415456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65410 + ... + 68798.

Almost surely, 2^227415456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227415456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324839970).

227415456 is an abundant number, since it is smaller than the sum of its proper divisors (422264484).

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

227415456 is a wasteful number, since it uses less digits than its factorization.

227415456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 3627 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 227415456 is about 15080.3002622627. The cubic root of 227415456 is about 610.3889448198.

The spelling of 227415456 in words is "two hundred twenty-seven million, four hundred fifteen thousand, four hundred fifty-six".