226264248 has 192 divisors, whose sum is σ = 741312000. Its totient is φ = 60952320.

The previous prime is 226264231. The next prime is 226264249. The reversal of 226264248 is 842462622.

226264248 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 642 + 4 + 8 = 666.

226264248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226264249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1518478 + ... + 1518626.

It is an arithmetic number, because the mean of its divisors is an integer number (3861000).

Almost surely, 2^226264248 is an apocalyptic number.

226264248 is a gapful number since it is divisible by the number (28) 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 226264248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370656000).

226264248 is an abundant number, since it is smaller than the sum of its proper divisors (515047752).

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

226264248 is a wasteful number, since it uses less digits than its factorization.

226264248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 315 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 226264248 is about 15042.0825685807. The cubic root of 226264248 is about 609.3572446740.

The spelling of 226264248 in words is "two hundred twenty-six million, two hundred sixty-four thousand, two hundred forty-eight".