224342010 has 48 divisors (see below), whose sum is σ = 587041416. Its totient is φ = 59439744.

The previous prime is 224342003. The next prime is 224342011. The reversal of 224342010 is 10243422.

224342010 is a `hidden beast` number, since 2 + 243 + 420 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 216707841 + 7634169 = 14721^2 + 2763^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224342011) 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, 6192 + ... + 22068.

Almost surely, 2^224342010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224342010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293520708).

224342010 is an abundant number, since it is smaller than the sum of its proper divisors (362699406).

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

224342010 is a wasteful number, since it uses less digits than its factorization.

224342010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16047 (or 16044 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224342010 is about 14978.0509412941. The cubic root of 224342010 is about 607.6267276139.

Adding to 224342010 its reverse (10243422), we get a palindrome (234585432).

It can be divided in two parts, 2243 and 42010, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 224342010 in words is "two hundred twenty-four million, three hundred forty-two thousand, ten".