2226952 has 96 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 798336.

The previous prime is 2226943. The next prime is 2226953. The reversal of 2226952 is 2596222.

It is a hoax number, since the sum of its digits (28) 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 (28).

It is a d-powerful number, because it can be written as 2 + 2² + 2³ + 6⁸ + 9⁶ + 5⁶ + 2⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 2226952.

It is not an unprimeable number, because it can be changed into a prime (2226953) 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, 96813 + ... + 96835.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

2^2226952 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 2226952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2226952 is an abundant number, since it is smaller than the sum of its proper divisors (3518648).

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

2226952 is a wasteful number, since it uses less digits than its factorization.

2226952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 2226952 is about 1492.2975574596. The cubic root of 2226952 is about 130.5881047023.

The spelling of 2226952 in words is "two million, two hundred twenty-six thousand, nine hundred fifty-two".