224006064 has 40 divisors (see below), whose sum is σ = 579343872. Its totient is φ = 74583360.

The previous prime is 224006053. The next prime is 224006071. The reversal of 224006064 is 460600422.

224006064 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50829 + ... + 55059.

Almost surely, 2^224006064 is an apocalyptic number.

224006064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224006064 is an abundant number, since it is smaller than the sum of its proper divisors (355337808).

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

224006064 is a wasteful number, since it uses less digits than its factorization.

224006064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 224006064 is about 14966.8321297461. The cubic root of 224006064 is about 607.3232746458.

Adding to 224006064 its reverse (460600422), we get a palindrome (684606486).

The spelling of 224006064 in words is "two hundred twenty-four million, six thousand, sixty-four".