223126164 has 30 divisors (see below), whose sum is σ = 583296714. Its totient is φ = 74375280.

The previous prime is 223126133. The next prime is 223126187. The reversal of 223126164 is 461621322.

It can be written as a sum of positive squares in only one way, i.e., 156050064 + 67076100 = 12492^2 + 8190^2 .

It is a super-3 number, since 3×223126164³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 344007 + ... + 344654.

Almost surely, 2^223126164 is an apocalyptic number.

It is an amenable number.

223126164 is an abundant number, since it is smaller than the sum of its proper divisors (360170550).

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

223126164 is a wasteful number, since it uses less digits than its factorization.

223126164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688677 (or 688666 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 223126164 is about 14937.4082089230. The cubic root of 223126164 is about 606.5270388051.

Adding to 223126164 its reverse (461621322), we get a palindrome (684747486).

The spelling of 223126164 in words is "two hundred twenty-three million, one hundred twenty-six thousand, one hundred sixty-four".