223145664 has 56 divisors (see below), whose sum is σ = 674754048. Its totient is φ = 63755520.

The previous prime is 223145641. The next prime is 223145683. The reversal of 223145664 is 466541322.

223145664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×223145664³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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, 81672 + ... + 84359.

Almost surely, 2^223145664 is an apocalyptic number.

223145664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223145664 is an abundant number, since it is smaller than the sum of its proper divisors (451608384).

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

223145664 is a wasteful number, since it uses less digits than its factorization.

223145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166053 (or 166043 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 223145664 is about 14938.0609183388. The cubic root of 223145664 is about 606.5447073333.

Adding to 223145664 its reverse (466541322), we get a palindrome (689686986).

It can be divided in two parts, 2231 and 45664, that added together give a triangular number (47895 = T₃₀₉).

The spelling of 223145664 in words is "two hundred twenty-three million, one hundred forty-five thousand, six hundred sixty-four".