224642106 has 64 divisors (see below), whose sum is σ = 543312000. Its totient is φ = 68387328.

The previous prime is 224642101. The next prime is 224642123. The reversal of 224642106 is 601246422.

224642106 is a `hidden beast` number, since 2 + 2 + 4 + 642 + 10 + 6 = 666.

224642106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 224642106.

It is not an unprimeable number, because it can be changed into a prime (224642101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66445 + ... + 69743.

It is an arithmetic number, because the mean of its divisors is an integer number (8489250).

Almost surely, 2^224642106 is an apocalyptic number.

224642106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224642106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271656000).

224642106 is an abundant number, since it is smaller than the sum of its proper divisors (318669894).

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

224642106 is a wasteful number, since it uses less digits than its factorization.

224642106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 224642106 is about 14988.0654522190. The cubic root of 224642106 is about 607.8975419601.

Adding to 224642106 its reverse (601246422), we get a palindrome (825888528).

The spelling of 224642106 in words is "two hundred twenty-four million, six hundred forty-two thousand, one hundred six".