22741664 has 72 divisors (see below), whose sum is σ = 51946272. Its totient is φ = 9701120.

The previous prime is 22741661. The next prime is 22741681. The reversal of 22741664 is 46614722.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 22741664.

It is not an unprimeable number, because it can be changed into a prime (22741661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429062 + ... + 429114.

It is an arithmetic number, because the mean of its divisors is an integer number (721476).

Almost surely, 2^22741664 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 22741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25973136).

22741664 is an abundant number, since it is smaller than the sum of its proper divisors (29204608).

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

22741664 is a wasteful number, since it uses less digits than its factorization.

22741664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 89 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 22741664 is about 4768.8220767816. The cubic root of 22741664 is about 283.3179427242.

The spelling of 22741664 in words is "twenty-two million, seven hundred forty-one thousand, six hundred sixty-four".