2226672 has 90 divisors (see below), whose sum is σ = 7276568. Its totient is φ = 622656.

The previous prime is 2226659. The next prime is 2226673. The reversal of 2226672 is 2766222.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226673) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47353 + ... + 47399.

2^2226672 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 2226672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638284).

2226672 is an abundant number, since it is smaller than the sum of its proper divisors (5049896).

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

2226672 is a wasteful number, since it uses less digits than its factorization.

2226672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2226672 is about 1492.2037394404. The cubic root of 2226672 is about 130.5826314214.

Multiplying 2226672 by its product of digits (4032), we get a square (8977941504 = 94752²).

The spelling of 2226672 in words is "two million, two hundred twenty-six thousand, six hundred seventy-two".