223545420 has 144 divisors (see below), whose sum is σ = 803781888. Its totient is φ = 51088320.

The previous prime is 223545401. The next prime is 223545437. The reversal of 223545420 is 24545322.

It is a happy number.

223545420 is a `hidden beast` number, since 2 + 235 + 4 + 5 + 420 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30735 + ... + 37305.

Almost surely, 2^223545420 is an apocalyptic number.

223545420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223545420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401890944).

223545420 is an abundant number, since it is smaller than the sum of its proper divisors (580236468).

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

223545420 is a wasteful number, since it uses less digits than its factorization.

223545420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 223545420 is about 14951.4353825979. The cubic root of 223545420 is about 606.9066909723.

The spelling of 223545420 in words is "two hundred twenty-three million, five hundred forty-five thousand, four hundred twenty".