227891664 has 640 divisors, whose sum is σ = 959938560. Its totient is φ = 49766400.

The previous prime is 227891663. The next prime is 227891683. The reversal of 227891664 is 466198722.

It is a happy number.

227891664 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×227891664² = 103869221041377792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (290304) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227891663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7351329 + ... + 7351359.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^227891664 is an apocalyptic number.

227891664 is a gapful number since it is divisible by the number (24) 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 227891664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

227891664 is an abundant number, since it is smaller than the sum of its proper divisors (732046896).

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

227891664 is a wasteful number, since it uses less digits than its factorization.

227891664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 227891664 is about 15096.0810808633. The cubic root of 227891664 is about 610.8146992962.

The spelling of 227891664 in words is "two hundred twenty-seven million, eight hundred ninety-one thousand, six hundred sixty-four".